GCD of 317, 672, 980, 280 Calculator

Given Input numbers are 317, 672, 980, 280

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

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 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 317, 672, 980, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 672, 980, 280 is 1.

Therefore, GCD of numbers 317, 672, 980, 280 is 1

Given Input Data is 317, 672, 980, 280

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

Prime Factorization of 317 is 317

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 280 is 2 x 2 x 2 x 5 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(317, 672) = 213024

GCD(317, 672) = ( 317 x 672 ) / 213024

GCD(317, 672) = 213024 / 213024

GCD(317, 672) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 317, 672, 980, 280 is 1

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1. What is the GCD of 317, 672, 980, 280?

GCD of 317, 672, 980, 280 is 1

2. Where do I get the detailed procedure to find GCD of 317, 672, 980, 280?

You can find a detailed procedure to find GCD of 317, 672, 980, 280 on our page.

3. How to find GCD of 317, 672, 980, 280 on a calculator?

You can find the GCD of 317, 672, 980, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.