GCD of 262, 500, 977, 977 Calculator

Given Input numbers are 262, 500, 977, 977

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

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 977

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

1, 977

Divisors of 977

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

1, 977

Greatest Common Divisior

We found the divisors of 262, 500, 977, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 500, 977, 977 is 1.

Therefore, GCD of numbers 262, 500, 977, 977 is 1

Given Input Data is 262, 500, 977, 977

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 977 is 977

Prime Factorization of 977 is 977

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(262, 500) = 65500

GCD(262, 500) = ( 262 x 500 ) / 65500

GCD(262, 500) = 131000 / 65500

GCD(262, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 977

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

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

GCD(2, 977) = 1954 / 1954

GCD(2, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 262, 500, 977, 977 is 1

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1. What is the GCD of 262, 500, 977, 977?

GCD of 262, 500, 977, 977 is 1

2. Where do I get the detailed procedure to find GCD of 262, 500, 977, 977?

You can find a detailed procedure to find GCD of 262, 500, 977, 977 on our page.

3. How to find GCD of 262, 500, 977, 977 on a calculator?

You can find the GCD of 262, 500, 977, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.