GCD of 310, 752, 915, 664 Calculator

Given Input numbers are 310, 752, 915, 664

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

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 310, 752, 915, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 752, 915, 664 is 1.

Therefore, GCD of numbers 310, 752, 915, 664 is 1

Given Input Data is 310, 752, 915, 664

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(310, 752) = 116560

GCD(310, 752) = ( 310 x 752 ) / 116560

GCD(310, 752) = 233120 / 116560

GCD(310, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 915

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

LCM(2, 915) = 1830

GCD(2, 915) = ( 2 x 915 ) / 1830

GCD(2, 915) = 1830 / 1830

GCD(2, 915) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 310, 752, 915, 664 is 1

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1. What is the GCD of 310, 752, 915, 664?

GCD of 310, 752, 915, 664 is 1

2. Where do I get the detailed procedure to find GCD of 310, 752, 915, 664?

You can find a detailed procedure to find GCD of 310, 752, 915, 664 on our page.

3. How to find GCD of 310, 752, 915, 664 on a calculator?

You can find the GCD of 310, 752, 915, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.