GCD of 370, 118, 820, 959 Calculator

Given Input numbers are 370, 118, 820, 959

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 370, 118, 820, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 118, 820, 959 is 1.

Therefore, GCD of numbers 370, 118, 820, 959 is 1

Given Input Data is 370, 118, 820, 959

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 118 is 2 x 59

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 959 is 7 x 137

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(370, 118) = 21830

GCD(370, 118) = ( 370 x 118 ) / 21830

GCD(370, 118) = 43660 / 21830

GCD(370, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

GCD of 370, 118, 820, 959 is 1

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1. What is the GCD of 370, 118, 820, 959?

GCD of 370, 118, 820, 959 is 1

2. Where do I get the detailed procedure to find GCD of 370, 118, 820, 959?

You can find a detailed procedure to find GCD of 370, 118, 820, 959 on our page.

3. How to find GCD of 370, 118, 820, 959 on a calculator?

You can find the GCD of 370, 118, 820, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.