GCD of 460, 520, 977, 659 Calculator

Given Input numbers are 460, 520, 977, 659

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 460, 520, 977, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 520, 977, 659 is 1.

Therefore, GCD of numbers 460, 520, 977, 659 is 1

Given Input Data is 460, 520, 977, 659

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 977 is 977

Prime Factorization of 659 is 659

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(460, 520) = 11960

GCD(460, 520) = ( 460 x 520 ) / 11960

GCD(460, 520) = 239200 / 11960

GCD(460, 520) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 977

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

LCM(20, 977) = 19540

GCD(20, 977) = ( 20 x 977 ) / 19540

GCD(20, 977) = 19540 / 19540

GCD(20, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 460, 520, 977, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 402, 282, 282
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• GCD of 606, 335, 249, 857
• GCD of 591, 500, 244, 302

1. What is the GCD of 460, 520, 977, 659?

GCD of 460, 520, 977, 659 is 1

2. Where do I get the detailed procedure to find GCD of 460, 520, 977, 659?

You can find a detailed procedure to find GCD of 460, 520, 977, 659 on our page.

3. How to find GCD of 460, 520, 977, 659 on a calculator?

You can find the GCD of 460, 520, 977, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.