GCD of 974, 308, 259, 672 Calculator

Given Input numbers are 974, 308, 259, 672

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

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 974, 308, 259, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 308, 259, 672 is 1.

Therefore, GCD of numbers 974, 308, 259, 672 is 1

Given Input Data is 974, 308, 259, 672

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 259 is 7 x 37

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(974, 308) = 149996

GCD(974, 308) = ( 974 x 308 ) / 149996

GCD(974, 308) = 299992 / 149996

GCD(974, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 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 974, 308, 259, 672 is 1

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1. What is the GCD of 974, 308, 259, 672?

GCD of 974, 308, 259, 672 is 1

2. Where do I get the detailed procedure to find GCD of 974, 308, 259, 672?

You can find a detailed procedure to find GCD of 974, 308, 259, 672 on our page.

3. How to find GCD of 974, 308, 259, 672 on a calculator?

You can find the GCD of 974, 308, 259, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.