GCD of 124, 645, 132, 686 Calculator

Given Input numbers are 124, 645, 132, 686

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 124, 645, 132, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 645, 132, 686 is 1.

Therefore, GCD of numbers 124, 645, 132, 686 is 1

Given Input Data is 124, 645, 132, 686

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 686 is 2 x 7 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(124, 645) = 79980

GCD(124, 645) = ( 124 x 645 ) / 79980

GCD(124, 645) = 79980 / 79980

GCD(124, 645) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 124, 645, 132, 686 is 1

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1. What is the GCD of 124, 645, 132, 686?

GCD of 124, 645, 132, 686 is 1

2. Where do I get the detailed procedure to find GCD of 124, 645, 132, 686?

You can find a detailed procedure to find GCD of 124, 645, 132, 686 on our page.

3. How to find GCD of 124, 645, 132, 686 on a calculator?

You can find the GCD of 124, 645, 132, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.