GCD of 920, 295, 35, 371 Calculator

Given Input numbers are 920, 295, 35, 371

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 920, 295, 35, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 295, 35, 371 is 1.

Therefore, GCD of numbers 920, 295, 35, 371 is 1

Given Input Data is 920, 295, 35, 371

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 295 is 5 x 59

Prime Factorization of 35 is 5 x 7

Prime Factorization of 371 is 7 x 53

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(920, 295) = 54280

GCD(920, 295) = ( 920 x 295 ) / 54280

GCD(920, 295) = 271400 / 54280

GCD(920, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 35

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

LCM(5, 35) = 35

GCD(5, 35) = ( 5 x 35 ) / 35

GCD(5, 35) = 175 / 35

GCD(5, 35) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 371

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

LCM(5, 371) = 1855

GCD(5, 371) = ( 5 x 371 ) / 1855

GCD(5, 371) = 1855 / 1855

GCD(5, 371) = 1

GCD of 920, 295, 35, 371 is 1

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1. What is the GCD of 920, 295, 35, 371?

GCD of 920, 295, 35, 371 is 1

2. Where do I get the detailed procedure to find GCD of 920, 295, 35, 371?

You can find a detailed procedure to find GCD of 920, 295, 35, 371 on our page.

3. How to find GCD of 920, 295, 35, 371 on a calculator?

You can find the GCD of 920, 295, 35, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.