GCD of 124, 610, 851, 296 Calculator

Given Input numbers are 124, 610, 851, 296

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 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 124, 610, 851, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 610, 851, 296 is 1.

Therefore, GCD of numbers 124, 610, 851, 296 is 1

Given Input Data is 124, 610, 851, 296

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 610 is 2 x 5 x 61

Prime Factorization of 851 is 23 x 37

Prime Factorization of 296 is 2 x 2 x 2 x 37

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, 610) = 37820

GCD(124, 610) = ( 124 x 610 ) / 37820

GCD(124, 610) = 75640 / 37820

GCD(124, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 851

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

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

GCD(2, 851) = 1702 / 1702

GCD(2, 851) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 124, 610, 851, 296 is 1

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1. What is the GCD of 124, 610, 851, 296?

GCD of 124, 610, 851, 296 is 1

2. Where do I get the detailed procedure to find GCD of 124, 610, 851, 296?

You can find a detailed procedure to find GCD of 124, 610, 851, 296 on our page.

3. How to find GCD of 124, 610, 851, 296 on a calculator?

You can find the GCD of 124, 610, 851, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.