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GCD of 660, 682, 356, 548 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 682, 356, 548 quickly. Get the easiest ways to solve the greatest common divisor of 660, 682, 356, 548 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 682, 356, 548 with Factoring?

Given Input numbers are 660, 682, 356, 548

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548


GCD of numbers is the greatest common divisor

So, the GCD (660, 682, 356, 548) = 2.

Find GCD of 660, 682, 356, 548 using Prime Factorization

Given numbers are 660, 682, 356, 548

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 682 are 2 x 11 x 31

Prime factors of 356 are 2 x 2 x 89

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 21

Therefore, GCD of 660, 682, 356, 548 is 2.

Steps to Calculate GCD of 660, 682, 356, 548 using LCM Formula

Given numbers are 660, 682, 356, 548

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

Apply this formula for all numbers.

Step1:

LCM(660, 682) = 20460

GCD(660, 682) = ( 660 x 682 ) / 20460

= 660 / 682

= 660


Step2:

LCM(22, 356) = 3916

GCD(22, 356) = ( 22 x 356 ) / 3916

= 22 / 356

= 22


Step3:

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

= 2 / 548

= 2


So, Greatest Common Divisor of 660, 682, 356, 548 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 682, 356, 548

Given numbers are 660, 682, 356, 548
The greatest common divisor of numbers 660, 682, 356, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 682, 356, 548 is 2.

FAQs on GCD of 660, 682, 356, 548 Calculator

1. What is the GCD of 660, 682, 356, 548?

GCD of given numbers 660, 682, 356, 548 is 2


2. How to calculate the greatest common divisor of 660, 682, 356, 548?

We can find the highest common divisor of 660, 682, 356, 548 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 660, 682, 356, 548 i.e 2.


3. How can I use the GCD of 660, 682, 356, 548Calculator?

Out the numbers 660, 682, 356, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.