**Highest common factor worksheet :**

Here we are going to see some practice questions on highest common factor.

We can find H.C.F any two or more numbers using ladder diagram method.

Now we can see the steps to be followed while using ladder diagram method to find H.C.F of any two or more numbers.

**Step 1 : **

Put the given numbers inside the "L" shape

**Step 2 :**

We have to split the given number by prime numbers only. That is, always we have to put prime numbers out side the "L" shape.

Given below will be helpful to find the prime number which exactly divides the given number.

- A number which ends with 0, 2, 4, 6 and 8 is divisible by the smallest prime number 2.
- A number which ends with 0 or 5 is divisible by 5
- If the sum of digits of the given number is a multiple of 3, then the given number is divisible by 3.

**Step 4 :**

Repeat this process until get prime numbers inside the ladder.

**Step 5 :**

The product of numbers out side the ladder will be the H.C.F

**Question 1 :**

Find the highest common factor of 90 and 30.

**Solution :**

To find the highest common factors of 90 and 30, let us write these two numbers inside the "L" shape.

**Question 2 :**

Find the highest common factor of 105 and 60.

**Solution :**

To find the highest common factors of 105 and 60, let us write these two numbers inside the "L" shape.

**Question 3 :**

Find the highest common factor of 30 and 50.

**Solution :**

To find the highest common factors of 30 and 50, let us write these two numbers inside the "L" shape.

**Question 4 :**

Find the highest common factor of 80 and 60.

**Solution :**

To find the highest common factors of 80 and 60, let us write these two numbers inside the "L" shape.

**Question 5 :**

Find the highest common factor of 36 and 27.

**Solution :**

To find the highest common factors of 36 and 27, let us write these two numbers inside the "L" shape.

**Question 6 :**

Find the highest common factor of 75 and 45.

**Solution :**

To find the highest common factors of 75 and 45, let us write these two numbers inside the "L" shape.

**Question 7 :**

Find the highest common factor of 36 and 72.

**Solution :**

To find the highest common factors of 36 and 72, let us write these two numbers inside the "L" shape.

**Question 8 :**

Find the highest common factor of 72 and 63.

**Solution :**

To find the highest common factors of 72 and 63, let us write these two numbers inside the "L" shape.

**Question 9 :**

Find the highest common factor of 120 and 90.

**Solution :**

To find the highest common factors of 120 and 90, let us write these two numbers inside the "L" shape.

**Question 10 :**

Find the highest common factor of 45 and 135.

**Solution :**

To find the highest common factors of 45 and 135, let us write these two numbers inside the "L" shape.

After having gone through the stuff given above, we hope that the students would have understood "Highest common factor worksheet".

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