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GCD of 616, 132, 456, 128 Calculator

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


Online GCD Calculator is useful to find the GCD of 616, 132, 456, 128 quickly. Get the easiest ways to solve the greatest common divisor of 616, 132, 456, 128 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 616, 132, 456, 128 with Factoring?

Given Input numbers are 616, 132, 456, 128

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128


GCD of numbers is the greatest common divisor

So, the GCD (616, 132, 456, 128) = 4.

Find GCD of 616, 132, 456, 128 using Prime Factorization

Given numbers are 616, 132, 456, 128

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 132 are 2 x 2 x 3 x 11

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

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 22

Therefore, GCD of 616, 132, 456, 128 is 4.

Steps to Calculate GCD of 616, 132, 456, 128 using LCM Formula

Given numbers are 616, 132, 456, 128

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

Apply this formula for all numbers.

Step1:

LCM(616, 132) = 1848

GCD(616, 132) = ( 616 x 132 ) / 1848

= 616 / 132

= 616


Step2:

LCM(44, 456) = 5016

GCD(44, 456) = ( 44 x 456 ) / 5016

= 44 / 456

= 44


Step3:

LCM(4, 128) = 128

GCD(4, 128) = ( 4 x 128 ) / 128

= 4 / 128

= 4


So, Greatest Common Divisor of 616, 132, 456, 128 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 616, 132, 456, 128

Given numbers are 616, 132, 456, 128
The greatest common divisor of numbers 616, 132, 456, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 132, 456, 128 is 4.

FAQs on GCD of 616, 132, 456, 128 Calculator

1. What is the GCD of 616, 132, 456, 128?

GCD of given numbers 616, 132, 456, 128 is 4


2. How to calculate the greatest common divisor of 616, 132, 456, 128?

We can find the highest common divisor of 616, 132, 456, 128 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 616, 132, 456, 128 i.e 4.


3. How can I use the GCD of 616, 132, 456, 128Calculator?

Out the numbers 616, 132, 456, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.