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GCD of 228, 536, 606, 680 Calculator

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


Online GCD Calculator is useful to find the GCD of 228, 536, 606, 680 quickly. Get the easiest ways to solve the greatest common divisor of 228, 536, 606, 680 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 536, 606, 680 with Factoring?

Given Input numbers are 228, 536, 606, 680

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

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 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680


GCD of numbers is the greatest common divisor

So, the GCD (228, 536, 606, 680) = 2.

Find GCD of 228, 536, 606, 680 using Prime Factorization

Given numbers are 228, 536, 606, 680

The list of prime factors of all numbers are

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

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 606 are 2 x 3 x 101

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 21

Therefore, GCD of 228, 536, 606, 680 is 2.

Steps to Calculate GCD of 228, 536, 606, 680 using LCM Formula

Given numbers are 228, 536, 606, 680

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

Apply this formula for all numbers.

Step1:

LCM(228, 536) = 30552

GCD(228, 536) = ( 228 x 536 ) / 30552

= 228 / 536

= 228


Step2:

LCM(4, 606) = 1212

GCD(4, 606) = ( 4 x 606 ) / 1212

= 4 / 606

= 4


Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2


So, Greatest Common Divisor of 228, 536, 606, 680 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 536, 606, 680

Given numbers are 228, 536, 606, 680
The greatest common divisor of numbers 228, 536, 606, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 536, 606, 680 is 2.

FAQs on GCD of 228, 536, 606, 680 Calculator

1. What is the GCD of 228, 536, 606, 680?

GCD of given numbers 228, 536, 606, 680 is 2


2. How to calculate the greatest common divisor of 228, 536, 606, 680?

We can find the highest common divisor of 228, 536, 606, 680 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 228, 536, 606, 680 i.e 2.


3. How can I use the GCD of 228, 536, 606, 680Calculator?

Out the numbers 228, 536, 606, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.