GCD of 118, 310, 65, 970 Calculator

Given Input numbers are 118, 310, 65, 970

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

Divisors of 118

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

1, 2, 59, 118

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 118, 310, 65, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 310, 65, 970 is 1.

Therefore, GCD of numbers 118, 310, 65, 970 is 1

Given Input Data is 118, 310, 65, 970

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 65 is 5 x 13

Prime Factorization of 970 is 2 x 5 x 97

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(118, 310) = 18290

GCD(118, 310) = ( 118 x 310 ) / 18290

GCD(118, 310) = 36580 / 18290

GCD(118, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 118, 310, 65, 970 is 1

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1. What is the GCD of 118, 310, 65, 970?

GCD of 118, 310, 65, 970 is 1

2. Where do I get the detailed procedure to find GCD of 118, 310, 65, 970?

You can find a detailed procedure to find GCD of 118, 310, 65, 970 on our page.

3. How to find GCD of 118, 310, 65, 970 on a calculator?

You can find the GCD of 118, 310, 65, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.