GCD of 732, 970, 314, 124 Calculator

Given Input numbers are 732, 970, 314, 124

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 124

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

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 732, 970, 314, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 970, 314, 124 is 2.

Therefore, GCD of numbers 732, 970, 314, 124 is 2

Given Input Data is 732, 970, 314, 124

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 314 is 2 x 157

Prime Factorization of 124 is 2 x 2 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(732, 970) = 355020

GCD(732, 970) = ( 732 x 970 ) / 355020

GCD(732, 970) = 710040 / 355020

GCD(732, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 124

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

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

GCD(2, 124) = 248 / 124

GCD(2, 124) = 2

GCD of 732, 970, 314, 124 is 2

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1. What is the GCD of 732, 970, 314, 124?

GCD of 732, 970, 314, 124 is 2

2. Where do I get the detailed procedure to find GCD of 732, 970, 314, 124?

You can find a detailed procedure to find GCD of 732, 970, 314, 124 on our page.

3. How to find GCD of 732, 970, 314, 124 on a calculator?

You can find the GCD of 732, 970, 314, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.