GCD of 637, 352, 553, 672 Calculator

Given Input numbers are 637, 352, 553, 672

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

Divisors of 637

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

1, 7, 13, 49, 91, 637

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 637, 352, 553, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 352, 553, 672 is 1.

Therefore, GCD of numbers 637, 352, 553, 672 is 1

Given Input Data is 637, 352, 553, 672

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

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 553 is 7 x 79

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(637, 352) = 224224

GCD(637, 352) = ( 637 x 352 ) / 224224

GCD(637, 352) = 224224 / 224224

GCD(637, 352) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 637, 352, 553, 672 is 1

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1. What is the GCD of 637, 352, 553, 672?

GCD of 637, 352, 553, 672 is 1

2. Where do I get the detailed procedure to find GCD of 637, 352, 553, 672?

You can find a detailed procedure to find GCD of 637, 352, 553, 672 on our page.

3. How to find GCD of 637, 352, 553, 672 on a calculator?

You can find the GCD of 637, 352, 553, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.