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GCD of 268, 580, 968, 368 Calculator

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


Online GCD Calculator is useful to find the GCD of 268, 580, 968, 368 quickly. Get the easiest ways to solve the greatest common divisor of 268, 580, 968, 368 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 268, 580, 968, 368 with Factoring?

Given Input numbers are 268, 580, 968, 368

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368


GCD of numbers is the greatest common divisor

So, the GCD (268, 580, 968, 368) = 4.

Find GCD of 268, 580, 968, 368 using Prime Factorization

Given numbers are 268, 580, 968, 368

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

The highest common occurrence is 22

Therefore, GCD of 268, 580, 968, 368 is 4.

Steps to Calculate GCD of 268, 580, 968, 368 using LCM Formula

Given numbers are 268, 580, 968, 368

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

Apply this formula for all numbers.

Step1:

LCM(268, 580) = 38860

GCD(268, 580) = ( 268 x 580 ) / 38860

= 268 / 580

= 268


Step2:

LCM(4, 968) = 968

GCD(4, 968) = ( 4 x 968 ) / 968

= 4 / 968

= 4


Step3:

LCM(4, 368) = 368

GCD(4, 368) = ( 4 x 368 ) / 368

= 4 / 368

= 4


So, Greatest Common Divisor of 268, 580, 968, 368 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 268, 580, 968, 368

Given numbers are 268, 580, 968, 368
The greatest common divisor of numbers 268, 580, 968, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 580, 968, 368 is 4.

FAQs on GCD of 268, 580, 968, 368 Calculator

1. What is the GCD of 268, 580, 968, 368?

GCD of given numbers 268, 580, 968, 368 is 4


2. How to calculate the greatest common divisor of 268, 580, 968, 368?

We can find the highest common divisor of 268, 580, 968, 368 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 268, 580, 968, 368 i.e 4.


3. How can I use the GCD of 268, 580, 968, 368Calculator?

Out the numbers 268, 580, 968, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.