GCD of 315, 658, 102, 965 Calculator

Given Input numbers are 315, 658, 102, 965

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 315, 658, 102, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 658, 102, 965 is 1.

Therefore, GCD of numbers 315, 658, 102, 965 is 1

Given Input Data is 315, 658, 102, 965

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 965 is 5 x 193

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(315, 658) = 29610

GCD(315, 658) = ( 315 x 658 ) / 29610

GCD(315, 658) = 207270 / 29610

GCD(315, 658) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 102

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

LCM(7, 102) = 714

GCD(7, 102) = ( 7 x 102 ) / 714

GCD(7, 102) = 714 / 714

GCD(7, 102) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 315, 658, 102, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 814, 827, 401
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• GCD of 279, 576, 315, 944

1. What is the GCD of 315, 658, 102, 965?

GCD of 315, 658, 102, 965 is 1

2. Where do I get the detailed procedure to find GCD of 315, 658, 102, 965?

You can find a detailed procedure to find GCD of 315, 658, 102, 965 on our page.

3. How to find GCD of 315, 658, 102, 965 on a calculator?

You can find the GCD of 315, 658, 102, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.