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GCD of 461, 708, 72 Calculator

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


Online GCD Calculator is useful to find the GCD of 461, 708, 72 quickly. Get the easiest ways to solve the greatest common divisor of 461, 708, 72 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 461, 708, 72 with Factoring?

Given Input numbers are 461, 708, 72

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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72


GCD of numbers is the greatest common divisor

So, the GCD (461, 708, 72) = 1.

Find GCD of 461, 708, 72 using Prime Factorization

Given numbers are 461, 708, 72

The list of prime factors of all numbers are

Prime factors of 461 are 461

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 461, 708, 72 using LCM Formula

Given numbers are 461, 708, 72

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

Apply this formula for all numbers.

Step1:

LCM(461, 708) = 326388

GCD(461, 708) = ( 461 x 708 ) / 326388

= 461 / 708

= 461


Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1


So, Greatest Common Divisor of 461, 708, 72 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 461, 708, 72

Given numbers are 461, 708, 72
The greatest common divisor of numbers 461, 708, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 708, 72 is 1.

FAQs on GCD of 461, 708, 72 Calculator

1. What is the GCD of 461, 708, 72?

GCD of given numbers 461, 708, 72 is 1


2. How to calculate the greatest common divisor of 461, 708, 72?

We can find the highest common divisor of 461, 708, 72 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 461, 708, 72 i.e 1.


3. How can I use the GCD of 461, 708, 72Calculator?

Out the numbers 461, 708, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.