GCD of 456, 915, 514, 959 Calculator

Given Input numbers are 456, 915, 514, 959

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

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 456, 915, 514, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 915, 514, 959 is 1.

Therefore, GCD of numbers 456, 915, 514, 959 is 1

Given Input Data is 456, 915, 514, 959

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 514 is 2 x 257

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(456, 915) = 139080

GCD(456, 915) = ( 456 x 915 ) / 139080

GCD(456, 915) = 417240 / 139080

GCD(456, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 514

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

LCM(3, 514) = 1542

GCD(3, 514) = ( 3 x 514 ) / 1542

GCD(3, 514) = 1542 / 1542

GCD(3, 514) = 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 456, 915, 514, 959 is 1

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1. What is the GCD of 456, 915, 514, 959?

GCD of 456, 915, 514, 959 is 1

2. Where do I get the detailed procedure to find GCD of 456, 915, 514, 959?

You can find a detailed procedure to find GCD of 456, 915, 514, 959 on our page.

3. How to find GCD of 456, 915, 514, 959 on a calculator?

You can find the GCD of 456, 915, 514, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.