GCD of 492, 617, 435, 680 Calculator

Given Input numbers are 492, 617, 435, 680

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 617

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

1, 617

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 492, 617, 435, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 617, 435, 680 is 1.

Therefore, GCD of numbers 492, 617, 435, 680 is 1

Given Input Data is 492, 617, 435, 680

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 617 is 617

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 680 is 2 x 2 x 2 x 5 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(492, 617) = 303564

GCD(492, 617) = ( 492 x 617 ) / 303564

GCD(492, 617) = 303564 / 303564

GCD(492, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 492, 617, 435, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 856, 518, 855
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1. What is the GCD of 492, 617, 435, 680?

GCD of 492, 617, 435, 680 is 1

2. Where do I get the detailed procedure to find GCD of 492, 617, 435, 680?

You can find a detailed procedure to find GCD of 492, 617, 435, 680 on our page.

3. How to find GCD of 492, 617, 435, 680 on a calculator?

You can find the GCD of 492, 617, 435, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.