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GCD of 680, 460, 456 Calculator

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


Online GCD Calculator is useful to find the GCD of 680, 460, 456 quickly. Get the easiest ways to solve the greatest common divisor of 680, 460, 456 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 680, 460, 456 with Factoring?

Given Input numbers are 680, 460, 456

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456


GCD of numbers is the greatest common divisor

So, the GCD (680, 460, 456) = 4.

Find GCD of 680, 460, 456 using Prime Factorization

Given numbers are 680, 460, 456

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 22

Therefore, GCD of 680, 460, 456 is 4.

Steps to Calculate GCD of 680, 460, 456 using LCM Formula

Given numbers are 680, 460, 456

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

Apply this formula for all numbers.

Step1:

LCM(680, 460) = 15640

GCD(680, 460) = ( 680 x 460 ) / 15640

= 680 / 460

= 680


Step2:

LCM(20, 456) = 2280

GCD(20, 456) = ( 20 x 456 ) / 2280

= 20 / 456

= 20


So, Greatest Common Divisor of 680, 460, 456 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 680, 460, 456

Given numbers are 680, 460, 456
The greatest common divisor of numbers 680, 460, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 460, 456 is 4.

FAQs on GCD of 680, 460, 456 Calculator

1. What is the GCD of 680, 460, 456?

GCD of given numbers 680, 460, 456 is 4


2. How to calculate the greatest common divisor of 680, 460, 456?

We can find the highest common divisor of 680, 460, 456 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 680, 460, 456 i.e 4.


3. How can I use the GCD of 680, 460, 456Calculator?

Out the numbers 680, 460, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.