GCD of 974, 672, 141, 484 Calculator

Given Input numbers are 974, 672, 141, 484

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

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

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 974, 672, 141, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 672, 141, 484 is 1.

Therefore, GCD of numbers 974, 672, 141, 484 is 1

Given Input Data is 974, 672, 141, 484

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

Prime Factorization of 974 is 2 x 487

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 484 is 2 x 2 x 11 x 11

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(974, 672) = 327264

GCD(974, 672) = ( 974 x 672 ) / 327264

GCD(974, 672) = 654528 / 327264

GCD(974, 672) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 141

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

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

GCD(2, 141) = 282 / 282

GCD(2, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 974, 672, 141, 484 is 1

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1. What is the GCD of 974, 672, 141, 484?

GCD of 974, 672, 141, 484 is 1

2. Where do I get the detailed procedure to find GCD of 974, 672, 141, 484?

You can find a detailed procedure to find GCD of 974, 672, 141, 484 on our page.

3. How to find GCD of 974, 672, 141, 484 on a calculator?

You can find the GCD of 974, 672, 141, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.