GCD of 766, 874, 422, 739 Calculator

Given Input numbers are 766, 874, 422, 739

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 874

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

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 766, 874, 422, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 874, 422, 739 is 1.

Therefore, GCD of numbers 766, 874, 422, 739 is 1

Given Input Data is 766, 874, 422, 739

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 422 is 2 x 211

Prime Factorization of 739 is 739

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(766, 874) = 334742

GCD(766, 874) = ( 766 x 874 ) / 334742

GCD(766, 874) = 669484 / 334742

GCD(766, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

GCD of 766, 874, 422, 739 is 1

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1. What is the GCD of 766, 874, 422, 739?

GCD of 766, 874, 422, 739 is 1

2. Where do I get the detailed procedure to find GCD of 766, 874, 422, 739?

You can find a detailed procedure to find GCD of 766, 874, 422, 739 on our page.

3. How to find GCD of 766, 874, 422, 739 on a calculator?

You can find the GCD of 766, 874, 422, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.