GCD of 974, 617, 812, 827 Calculator

Given Input numbers are 974, 617, 812, 827

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 974, 617, 812, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 617, 812, 827 is 1.

Therefore, GCD of numbers 974, 617, 812, 827 is 1

Given Input Data is 974, 617, 812, 827

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 617 is 617

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 827 is 827

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, 617) = 600958

GCD(974, 617) = ( 974 x 617 ) / 600958

GCD(974, 617) = 600958 / 600958

GCD(974, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 974, 617, 812, 827 is 1

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1. What is the GCD of 974, 617, 812, 827?

GCD of 974, 617, 812, 827 is 1

2. Where do I get the detailed procedure to find GCD of 974, 617, 812, 827?

You can find a detailed procedure to find GCD of 974, 617, 812, 827 on our page.

3. How to find GCD of 974, 617, 812, 827 on a calculator?

You can find the GCD of 974, 617, 812, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.