GCD of 574, 360, 617, 140 Calculator

Given Input numbers are 574, 360, 617, 140

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 617

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

1, 617

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 574, 360, 617, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 360, 617, 140 is 1.

Therefore, GCD of numbers 574, 360, 617, 140 is 1

Given Input Data is 574, 360, 617, 140

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 617 is 617

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(574, 360) = 103320

GCD(574, 360) = ( 574 x 360 ) / 103320

GCD(574, 360) = 206640 / 103320

GCD(574, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 617

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

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

GCD(2, 617) = 1234 / 1234

GCD(2, 617) = 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 574, 360, 617, 140 is 1

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1. What is the GCD of 574, 360, 617, 140?

GCD of 574, 360, 617, 140 is 1

2. Where do I get the detailed procedure to find GCD of 574, 360, 617, 140?

You can find a detailed procedure to find GCD of 574, 360, 617, 140 on our page.

3. How to find GCD of 574, 360, 617, 140 on a calculator?

You can find the GCD of 574, 360, 617, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.