GCD of 421, 784, 975, 956 Calculator

Given Input numbers are 421, 784, 975, 956

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 421, 784, 975, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 784, 975, 956 is 1.

Therefore, GCD of numbers 421, 784, 975, 956 is 1

Given Input Data is 421, 784, 975, 956

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

Prime Factorization of 421 is 421

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 956 is 2 x 2 x 239

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(421, 784) = 330064

GCD(421, 784) = ( 421 x 784 ) / 330064

GCD(421, 784) = 330064 / 330064

GCD(421, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 421, 784, 975, 956 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 767, 466, 160
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1. What is the GCD of 421, 784, 975, 956?

GCD of 421, 784, 975, 956 is 1

2. Where do I get the detailed procedure to find GCD of 421, 784, 975, 956?

You can find a detailed procedure to find GCD of 421, 784, 975, 956 on our page.

3. How to find GCD of 421, 784, 975, 956 on a calculator?

You can find the GCD of 421, 784, 975, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.