GCD of 172, 676, 779, 107 Calculator

Given Input numbers are 172, 676, 779, 107

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 172, 676, 779, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 676, 779, 107 is 1.

Therefore, GCD of numbers 172, 676, 779, 107 is 1

Given Input Data is 172, 676, 779, 107

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

Prime Factorization of 172 is 2 x 2 x 43

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 107 is 107

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(172, 676) = 29068

GCD(172, 676) = ( 172 x 676 ) / 29068

GCD(172, 676) = 116272 / 29068

GCD(172, 676) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 779

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

LCM(4, 779) = 3116

GCD(4, 779) = ( 4 x 779 ) / 3116

GCD(4, 779) = 3116 / 3116

GCD(4, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 172, 676, 779, 107 is 1

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• GCD of 647, 368, 427, 785
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1. What is the GCD of 172, 676, 779, 107?

GCD of 172, 676, 779, 107 is 1

2. Where do I get the detailed procedure to find GCD of 172, 676, 779, 107?

You can find a detailed procedure to find GCD of 172, 676, 779, 107 on our page.

3. How to find GCD of 172, 676, 779, 107 on a calculator?

You can find the GCD of 172, 676, 779, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.