GCD of 974, 849, 96, 876 Calculator

Given Input numbers are 974, 849, 96, 876

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 974, 849, 96, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 849, 96, 876 is 1.

Therefore, GCD of numbers 974, 849, 96, 876 is 1

Given Input Data is 974, 849, 96, 876

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 849 is 3 x 283

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 876 is 2 x 2 x 3 x 73

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, 849) = 826926

GCD(974, 849) = ( 974 x 849 ) / 826926

GCD(974, 849) = 826926 / 826926

GCD(974, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

GCD of 974, 849, 96, 876 is 1

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1. What is the GCD of 974, 849, 96, 876?

GCD of 974, 849, 96, 876 is 1

2. Where do I get the detailed procedure to find GCD of 974, 849, 96, 876?

You can find a detailed procedure to find GCD of 974, 849, 96, 876 on our page.

3. How to find GCD of 974, 849, 96, 876 on a calculator?

You can find the GCD of 974, 849, 96, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.