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GCD of 724, 124, 122, 464 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 724, 124, 122, 464 quickly. Get the easiest ways to solve the greatest common divisor of 724, 124, 122, 464 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 124, 122, 464 with Factoring?

Given Input numbers are 724, 124, 122, 464

In the factoring method, we have to find the divisors of all numbers

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464


GCD of numbers is the greatest common divisor

So, the GCD (724, 124, 122, 464) = 2.

Find GCD of 724, 124, 122, 464 using Prime Factorization

Given numbers are 724, 124, 122, 464

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 124 are 2 x 2 x 31

Prime factors of 122 are 2 x 61

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 21

Therefore, GCD of 724, 124, 122, 464 is 2.

Steps to Calculate GCD of 724, 124, 122, 464 using LCM Formula

Given numbers are 724, 124, 122, 464

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(724, 124) = 22444

GCD(724, 124) = ( 724 x 124 ) / 22444

= 724 / 124

= 724


Step2:

LCM(4, 122) = 244

GCD(4, 122) = ( 4 x 122 ) / 244

= 4 / 122

= 4


Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2


So, Greatest Common Divisor of 724, 124, 122, 464 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 124, 122, 464

Given numbers are 724, 124, 122, 464
The greatest common divisor of numbers 724, 124, 122, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 124, 122, 464 is 2.

FAQs on GCD of 724, 124, 122, 464 Calculator

1. What is the GCD of 724, 124, 122, 464?

GCD of given numbers 724, 124, 122, 464 is 2


2. How to calculate the greatest common divisor of 724, 124, 122, 464?

We can find the highest common divisor of 724, 124, 122, 464 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 724, 124, 122, 464 i.e 2.


3. How can I use the GCD of 724, 124, 122, 464Calculator?

Out the numbers 724, 124, 122, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.