GCD of 792, 617, 75, 140 Calculator

Given Input numbers are 792, 617, 75, 140

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 792, 617, 75, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 617, 75, 140 is 1.

Therefore, GCD of numbers 792, 617, 75, 140 is 1

Given Input Data is 792, 617, 75, 140

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 617 is 617

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(792, 617) = 488664

GCD(792, 617) = ( 792 x 617 ) / 488664

GCD(792, 617) = 488664 / 488664

GCD(792, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 792, 617, 75, 140 is 1

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1. What is the GCD of 792, 617, 75, 140?

GCD of 792, 617, 75, 140 is 1

2. Where do I get the detailed procedure to find GCD of 792, 617, 75, 140?

You can find a detailed procedure to find GCD of 792, 617, 75, 140 on our page.

3. How to find GCD of 792, 617, 75, 140 on a calculator?

You can find the GCD of 792, 617, 75, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.