GCD of 642, 680, 107, 674 Calculator

Given Input numbers are 642, 680, 107, 674

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 107

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

1, 107

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 642, 680, 107, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 680, 107, 674 is 1.

Therefore, GCD of numbers 642, 680, 107, 674 is 1

Given Input Data is 642, 680, 107, 674

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 107 is 107

Prime Factorization of 674 is 2 x 337

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(642, 680) = 218280

GCD(642, 680) = ( 642 x 680 ) / 218280

GCD(642, 680) = 436560 / 218280

GCD(642, 680) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 642, 680, 107, 674 is 1

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1. What is the GCD of 642, 680, 107, 674?

GCD of 642, 680, 107, 674 is 1

2. Where do I get the detailed procedure to find GCD of 642, 680, 107, 674?

You can find a detailed procedure to find GCD of 642, 680, 107, 674 on our page.

3. How to find GCD of 642, 680, 107, 674 on a calculator?

You can find the GCD of 642, 680, 107, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.