GCD of 838, 291, 120, 971 Calculator

Given Input numbers are 838, 291, 120, 971

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 838, 291, 120, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 291, 120, 971 is 1.

Therefore, GCD of numbers 838, 291, 120, 971 is 1

Given Input Data is 838, 291, 120, 971

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 291 is 3 x 97

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 971 is 971

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(838, 291) = 243858

GCD(838, 291) = ( 838 x 291 ) / 243858

GCD(838, 291) = 243858 / 243858

GCD(838, 291) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 838, 291, 120, 971 is 1

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1. What is the GCD of 838, 291, 120, 971?

GCD of 838, 291, 120, 971 is 1

2. Where do I get the detailed procedure to find GCD of 838, 291, 120, 971?

You can find a detailed procedure to find GCD of 838, 291, 120, 971 on our page.

3. How to find GCD of 838, 291, 120, 971 on a calculator?

You can find the GCD of 838, 291, 120, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.