GCD of 772, 125, 461, 874 Calculator

Given Input numbers are 772, 125, 461, 874

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 772, 125, 461, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 125, 461, 874 is 1.

Therefore, GCD of numbers 772, 125, 461, 874 is 1

Given Input Data is 772, 125, 461, 874

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 461 is 461

Prime Factorization of 874 is 2 x 19 x 23

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(772, 125) = 96500

GCD(772, 125) = ( 772 x 125 ) / 96500

GCD(772, 125) = 96500 / 96500

GCD(772, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 772, 125, 461, 874 is 1

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1. What is the GCD of 772, 125, 461, 874?

GCD of 772, 125, 461, 874 is 1

2. Where do I get the detailed procedure to find GCD of 772, 125, 461, 874?

You can find a detailed procedure to find GCD of 772, 125, 461, 874 on our page.

3. How to find GCD of 772, 125, 461, 874 on a calculator?

You can find the GCD of 772, 125, 461, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.