GCD of 617, 142, 264, 588 Calculator

Given Input numbers are 617, 142, 264, 588

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

Divisors of 617

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

1, 617

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 617, 142, 264, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 142, 264, 588 is 1.

Therefore, GCD of numbers 617, 142, 264, 588 is 1

Given Input Data is 617, 142, 264, 588

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

Prime Factorization of 617 is 617

Prime Factorization of 142 is 2 x 71

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 588 is 2 x 2 x 3 x 7 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(617, 142) = 87614

GCD(617, 142) = ( 617 x 142 ) / 87614

GCD(617, 142) = 87614 / 87614

GCD(617, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 617, 142, 264, 588 is 1

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1. What is the GCD of 617, 142, 264, 588?

GCD of 617, 142, 264, 588 is 1

2. Where do I get the detailed procedure to find GCD of 617, 142, 264, 588?

You can find a detailed procedure to find GCD of 617, 142, 264, 588 on our page.

3. How to find GCD of 617, 142, 264, 588 on a calculator?

You can find the GCD of 617, 142, 264, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.