GCD of 252, 766, 637, 722 Calculator

Given Input numbers are 252, 766, 637, 722

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 252, 766, 637, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 766, 637, 722 is 1.

Therefore, GCD of numbers 252, 766, 637, 722 is 1

Given Input Data is 252, 766, 637, 722

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 766 is 2 x 383

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 722 is 2 x 19 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(252, 766) = 96516

GCD(252, 766) = ( 252 x 766 ) / 96516

GCD(252, 766) = 193032 / 96516

GCD(252, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 637

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

GCD(2, 637) = 1274 / 1274

GCD(2, 637) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 252, 766, 637, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 657, 104, 623
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• GCD of 170, 258, 637, 749
• GCD of 264, 954, 764, 672

1. What is the GCD of 252, 766, 637, 722?

GCD of 252, 766, 637, 722 is 1

2. Where do I get the detailed procedure to find GCD of 252, 766, 637, 722?

You can find a detailed procedure to find GCD of 252, 766, 637, 722 on our page.

3. How to find GCD of 252, 766, 637, 722 on a calculator?

You can find the GCD of 252, 766, 637, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.