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GCD of 452, 108, 768, 860 Calculator

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


Online GCD Calculator is useful to find the GCD of 452, 108, 768, 860 quickly. Get the easiest ways to solve the greatest common divisor of 452, 108, 768, 860 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 452, 108, 768, 860 with Factoring?

Given Input numbers are 452, 108, 768, 860

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

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860


GCD of numbers is the greatest common divisor

So, the GCD (452, 108, 768, 860) = 4.

Find GCD of 452, 108, 768, 860 using Prime Factorization

Given numbers are 452, 108, 768, 860

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 860 are 2 x 2 x 5 x 43

The highest common occurrence is 22

Therefore, GCD of 452, 108, 768, 860 is 4.

Steps to Calculate GCD of 452, 108, 768, 860 using LCM Formula

Given numbers are 452, 108, 768, 860

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

Apply this formula for all numbers.

Step1:

LCM(452, 108) = 12204

GCD(452, 108) = ( 452 x 108 ) / 12204

= 452 / 108

= 452


Step2:

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

= 4 / 768

= 4


Step3:

LCM(4, 860) = 860

GCD(4, 860) = ( 4 x 860 ) / 860

= 4 / 860

= 4


So, Greatest Common Divisor of 452, 108, 768, 860 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 452, 108, 768, 860

Given numbers are 452, 108, 768, 860
The greatest common divisor of numbers 452, 108, 768, 860 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 108, 768, 860 is 4.

FAQs on GCD of 452, 108, 768, 860 Calculator

1. What is the GCD of 452, 108, 768, 860?

GCD of given numbers 452, 108, 768, 860 is 4


2. How to calculate the greatest common divisor of 452, 108, 768, 860?

We can find the highest common divisor of 452, 108, 768, 860 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 452, 108, 768, 860 i.e 4.


3. How can I use the GCD of 452, 108, 768, 860Calculator?

Out the numbers 452, 108, 768, 860 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.