GCD of 65, 978, 107, 237 Calculator

Given Input numbers are 65, 978, 107, 237

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

Divisors of 65

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

1, 5, 13, 65

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Greatest Common Divisior

We found the divisors of 65, 978, 107, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 978, 107, 237 is 1.

Therefore, GCD of numbers 65, 978, 107, 237 is 1

Given Input Data is 65, 978, 107, 237

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 107 is 107

Prime Factorization of 237 is 3 x 79

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(65, 978) = 63570

GCD(65, 978) = ( 65 x 978 ) / 63570

GCD(65, 978) = 63570 / 63570

GCD(65, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 237

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

LCM(1, 237) = 237

GCD(1, 237) = ( 1 x 237 ) / 237

GCD(1, 237) = 237 / 237

GCD(1, 237) = 1

GCD of 65, 978, 107, 237 is 1

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1. What is the GCD of 65, 978, 107, 237?

GCD of 65, 978, 107, 237 is 1

2. Where do I get the detailed procedure to find GCD of 65, 978, 107, 237?

You can find a detailed procedure to find GCD of 65, 978, 107, 237 on our page.

3. How to find GCD of 65, 978, 107, 237 on a calculator?

You can find the GCD of 65, 978, 107, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.