GCD of 677, 642, 37, 935 Calculator

Given Input numbers are 677, 642, 37, 935

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 642

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

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 677, 642, 37, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 642, 37, 935 is 1.

Therefore, GCD of numbers 677, 642, 37, 935 is 1

Given Input Data is 677, 642, 37, 935

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

Prime Factorization of 677 is 677

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 37 is 37

Prime Factorization of 935 is 5 x 11 x 17

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, 642) = 434634

GCD(677, 642) = ( 677 x 642 ) / 434634

GCD(677, 642) = 434634 / 434634

GCD(677, 642) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 935

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

LCM(1, 935) = 935

GCD(1, 935) = ( 1 x 935 ) / 935

GCD(1, 935) = 935 / 935

GCD(1, 935) = 1

GCD of 677, 642, 37, 935 is 1

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1. What is the GCD of 677, 642, 37, 935?

GCD of 677, 642, 37, 935 is 1

2. Where do I get the detailed procedure to find GCD of 677, 642, 37, 935?

You can find a detailed procedure to find GCD of 677, 642, 37, 935 on our page.

3. How to find GCD of 677, 642, 37, 935 on a calculator?

You can find the GCD of 677, 642, 37, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.