In this page gcd worksheet solution1 we are going to see solution of some question with clear explanation.

To find the greatest common divisor of the given numbers or for algebraic expressions we have to follow the steps:

**Step 1:** List the prime factors of each of the given number. For algebraic expression we have to find factors of them.

**Step 2:** List the common factors of the given numbers or common factors.

**Step 3:** Multiply those common factors.

(1) Find the greatest common divisor of

7 x² y z⁴ , 21 x² y⁵ z³

**Solution:**

= 7 **x** x² **x** y **x ** z³ **x ** z

= 7 **x **3 **x **x² **x** y **x** y⁴ **x **z³

Therefore the greatest common divisor = 7 x² y z³

(2) Find the greatest common divisor of

x² y, x³ y , x² y²

**Solution:**

= x² **x** y

= x² **x ** x **x **y

= x² **x** y **x** y

Therefore the greatest common divisor = x² y

(3) Find the greatest common divisor of

25 b c⁴ d³ , 35 b² c⁵ , 45 c³ d

**Solution:**

= 5 **x** 5 **x** b **x** c³ **x** d **x** d **x** d

= 7 **x** 5 **x** b **x** b **x** c³ **x** c²

= 3 **x** 3 **x** 5 **x** c³ **x** d

Therefore the greatest common divisor = 5 c³

(4) Find the greatest common divisor of

35 x⁵ y³ z⁴ , 49 x² y z³ , 14 x y² z²

**Solution:**

= 7 **x** 5 **x** x **x** x** x** x** x** x ** x **x

= 7 **x** 7 **x** x** x** x **x**** **y **x**** **z² **x** z

= 2 **x** 7 **x** x **x**** **y x y **x**** **z²

Therefore the greatest common divisor = 7 x y z²

gcd worksheet solution1 gcd worksheet solution1

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Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life. They are:

It subtracts sadness and adds happiness in our life.

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”