GCD of 677, 920, 438, 642 Calculator

Given Input numbers are 677, 920, 438, 642

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 642

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

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

Greatest Common Divisior

We found the divisors of 677, 920, 438, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 920, 438, 642 is 1.

Therefore, GCD of numbers 677, 920, 438, 642 is 1

Given Input Data is 677, 920, 438, 642

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

Prime Factorization of 677 is 677

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 642 is 2 x 3 x 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(677, 920) = 622840

GCD(677, 920) = ( 677 x 920 ) / 622840

GCD(677, 920) = 622840 / 622840

GCD(677, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 677, 920, 438, 642 is 1

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1. What is the GCD of 677, 920, 438, 642?

GCD of 677, 920, 438, 642 is 1

2. Where do I get the detailed procedure to find GCD of 677, 920, 438, 642?

You can find a detailed procedure to find GCD of 677, 920, 438, 642 on our page.

3. How to find GCD of 677, 920, 438, 642 on a calculator?

You can find the GCD of 677, 920, 438, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.