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GCD of 690, 568, 652, 920 Calculator

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


Online GCD Calculator is useful to find the GCD of 690, 568, 652, 920 quickly. Get the easiest ways to solve the greatest common divisor of 690, 568, 652, 920 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 690, 568, 652, 920 with Factoring?

Given Input numbers are 690, 568, 652, 920

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

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

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920


GCD of numbers is the greatest common divisor

So, the GCD (690, 568, 652, 920) = 2.

Find GCD of 690, 568, 652, 920 using Prime Factorization

Given numbers are 690, 568, 652, 920

The list of prime factors of all numbers are

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

Prime factors of 568 are 2 x 2 x 2 x 71

Prime factors of 652 are 2 x 2 x 163

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 21

Therefore, GCD of 690, 568, 652, 920 is 2.

Steps to Calculate GCD of 690, 568, 652, 920 using LCM Formula

Given numbers are 690, 568, 652, 920

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

Apply this formula for all numbers.

Step1:

LCM(690, 568) = 195960

GCD(690, 568) = ( 690 x 568 ) / 195960

= 690 / 568

= 690


Step2:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2


Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2


So, Greatest Common Divisor of 690, 568, 652, 920 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 690, 568, 652, 920

Given numbers are 690, 568, 652, 920
The greatest common divisor of numbers 690, 568, 652, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 568, 652, 920 is 2.

FAQs on GCD of 690, 568, 652, 920 Calculator

1. What is the GCD of 690, 568, 652, 920?

GCD of given numbers 690, 568, 652, 920 is 2


2. How to calculate the greatest common divisor of 690, 568, 652, 920?

We can find the highest common divisor of 690, 568, 652, 920 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 690, 568, 652, 920 i.e 2.


3. How can I use the GCD of 690, 568, 652, 920Calculator?

Out the numbers 690, 568, 652, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.