GCD of 617, 907, 458, 960 Calculator

Given Input numbers are 617, 907, 458, 960

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 617, 907, 458, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 907, 458, 960 is 1.

Therefore, GCD of numbers 617, 907, 458, 960 is 1

Given Input Data is 617, 907, 458, 960

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

Prime Factorization of 617 is 617

Prime Factorization of 907 is 907

Prime Factorization of 458 is 2 x 229

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(617, 907) = 559619

GCD(617, 907) = ( 617 x 907 ) / 559619

GCD(617, 907) = 559619 / 559619

GCD(617, 907) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 617, 907, 458, 960 is 1

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1. What is the GCD of 617, 907, 458, 960?

GCD of 617, 907, 458, 960 is 1

2. Where do I get the detailed procedure to find GCD of 617, 907, 458, 960?

You can find a detailed procedure to find GCD of 617, 907, 458, 960 on our page.

3. How to find GCD of 617, 907, 458, 960 on a calculator?

You can find the GCD of 617, 907, 458, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.