GCD of 978, 268, 37, 959 Calculator

Given Input numbers are 978, 268, 37, 959

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

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 978, 268, 37, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 268, 37, 959 is 1.

Therefore, GCD of numbers 978, 268, 37, 959 is 1

Given Input Data is 978, 268, 37, 959

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 37 is 37

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(978, 268) = 131052

GCD(978, 268) = ( 978 x 268 ) / 131052

GCD(978, 268) = 262104 / 131052

GCD(978, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 978, 268, 37, 959 is 1

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1. What is the GCD of 978, 268, 37, 959?

GCD of 978, 268, 37, 959 is 1

2. Where do I get the detailed procedure to find GCD of 978, 268, 37, 959?

You can find a detailed procedure to find GCD of 978, 268, 37, 959 on our page.

3. How to find GCD of 978, 268, 37, 959 on a calculator?

You can find the GCD of 978, 268, 37, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.