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GCD of 528, 378, 872, 690 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, 378, 872, 690 quickly. Get the easiest ways to solve the greatest common divisor of 528, 378, 872, 690 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 528, 378, 872, 690 with Factoring?

Given Input numbers are 528, 378, 872, 690

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690


GCD of numbers is the greatest common divisor

So, the GCD (528, 378, 872, 690) = 2.

Find GCD of 528, 378, 872, 690 using Prime Factorization

Given numbers are 528, 378, 872, 690

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 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 21

Therefore, GCD of 528, 378, 872, 690 is 2.

Steps to Calculate GCD of 528, 378, 872, 690 using LCM Formula

Given numbers are 528, 378, 872, 690

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

Apply this formula for all numbers.

Step1:

LCM(528, 378) = 33264

GCD(528, 378) = ( 528 x 378 ) / 33264

= 528 / 378

= 528


Step2:

LCM(6, 872) = 2616

GCD(6, 872) = ( 6 x 872 ) / 2616

= 6 / 872

= 6


Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2


So, Greatest Common Divisor of 528, 378, 872, 690 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 528, 378, 872, 690

Given numbers are 528, 378, 872, 690
The greatest common divisor of numbers 528, 378, 872, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 378, 872, 690 is 2.

FAQs on GCD of 528, 378, 872, 690 Calculator

1. What is the GCD of 528, 378, 872, 690?

GCD of given numbers 528, 378, 872, 690 is 2


2. How to calculate the greatest common divisor of 528, 378, 872, 690?

We can find the highest common divisor of 528, 378, 872, 690 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, 378, 872, 690 i.e 2.


3. How can I use the GCD of 528, 378, 872, 690Calculator?

Out the numbers 528, 378, 872, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.