GCD of 974, 851, 783, 108 Calculator

Given Input numbers are 974, 851, 783, 108

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 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 974, 851, 783, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 851, 783, 108 is 1.

Therefore, GCD of numbers 974, 851, 783, 108 is 1

Given Input Data is 974, 851, 783, 108

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 851 is 23 x 37

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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, 851) = 828874

GCD(974, 851) = ( 974 x 851 ) / 828874

GCD(974, 851) = 828874 / 828874

GCD(974, 851) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 974, 851, 783, 108 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 584, 321, 737, 700

1. What is the GCD of 974, 851, 783, 108?

GCD of 974, 851, 783, 108 is 1

2. Where do I get the detailed procedure to find GCD of 974, 851, 783, 108?

You can find a detailed procedure to find GCD of 974, 851, 783, 108 on our page.

3. How to find GCD of 974, 851, 783, 108 on a calculator?

You can find the GCD of 974, 851, 783, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.