GCD of 762, 174, 872, 107 Calculator

Given Input numbers are 762, 174, 872, 107

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

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 762, 174, 872, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 174, 872, 107 is 1.

Therefore, GCD of numbers 762, 174, 872, 107 is 1

Given Input Data is 762, 174, 872, 107

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(762, 174) = 22098

GCD(762, 174) = ( 762 x 174 ) / 22098

GCD(762, 174) = 132588 / 22098

GCD(762, 174) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 872

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

LCM(6, 872) = 2616

GCD(6, 872) = ( 6 x 872 ) / 2616

GCD(6, 872) = 5232 / 2616

GCD(6, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

GCD of 762, 174, 872, 107 is 1

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1. What is the GCD of 762, 174, 872, 107?

GCD of 762, 174, 872, 107 is 1

2. Where do I get the detailed procedure to find GCD of 762, 174, 872, 107?

You can find a detailed procedure to find GCD of 762, 174, 872, 107 on our page.

3. How to find GCD of 762, 174, 872, 107 on a calculator?

You can find the GCD of 762, 174, 872, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.