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GCD of 528, 228, 780, 952 Calculator

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


Online GCD Calculator is useful to find the GCD of 528, 228, 780, 952 quickly. Get the easiest ways to solve the greatest common divisor of 528, 228, 780, 952 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 528, 228, 780, 952 with Factoring?

Given Input numbers are 528, 228, 780, 952

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952


GCD of numbers is the greatest common divisor

So, the GCD (528, 228, 780, 952) = 4.

Find GCD of 528, 228, 780, 952 using Prime Factorization

Given numbers are 528, 228, 780, 952

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 22

Therefore, GCD of 528, 228, 780, 952 is 4.

Steps to Calculate GCD of 528, 228, 780, 952 using LCM Formula

Given numbers are 528, 228, 780, 952

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

Apply this formula for all numbers.

Step1:

LCM(528, 228) = 10032

GCD(528, 228) = ( 528 x 228 ) / 10032

= 528 / 228

= 528


Step2:

LCM(12, 780) = 780

GCD(12, 780) = ( 12 x 780 ) / 780

= 12 / 780

= 12


Step3:

LCM(12, 952) = 2856

GCD(12, 952) = ( 12 x 952 ) / 2856

= 12 / 952

= 12


So, Greatest Common Divisor of 528, 228, 780, 952 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 528, 228, 780, 952

Given numbers are 528, 228, 780, 952
The greatest common divisor of numbers 528, 228, 780, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 228, 780, 952 is 4.

FAQs on GCD of 528, 228, 780, 952 Calculator

1. What is the GCD of 528, 228, 780, 952?

GCD of given numbers 528, 228, 780, 952 is 4


2. How to calculate the greatest common divisor of 528, 228, 780, 952?

We can find the highest common divisor of 528, 228, 780, 952 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 528, 228, 780, 952 i.e 4.


3. How can I use the GCD of 528, 228, 780, 952Calculator?

Out the numbers 528, 228, 780, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.