GCD of 839, 919, 746, 676 Calculator

Given Input numbers are 839, 919, 746, 676

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 839, 919, 746, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 919, 746, 676 is 1.

Therefore, GCD of numbers 839, 919, 746, 676 is 1

Given Input Data is 839, 919, 746, 676

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

Prime Factorization of 839 is 839

Prime Factorization of 919 is 919

Prime Factorization of 746 is 2 x 373

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(839, 919) = 771041

GCD(839, 919) = ( 839 x 919 ) / 771041

GCD(839, 919) = 771041 / 771041

GCD(839, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 839, 919, 746, 676 is 1

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1. What is the GCD of 839, 919, 746, 676?

GCD of 839, 919, 746, 676 is 1

2. Where do I get the detailed procedure to find GCD of 839, 919, 746, 676?

You can find a detailed procedure to find GCD of 839, 919, 746, 676 on our page.

3. How to find GCD of 839, 919, 746, 676 on a calculator?

You can find the GCD of 839, 919, 746, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.