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GCD of 352, 684, 380, 668 Calculator

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


Online GCD Calculator is useful to find the GCD of 352, 684, 380, 668 quickly. Get the easiest ways to solve the greatest common divisor of 352, 684, 380, 668 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 352, 684, 380, 668 with Factoring?

Given Input numbers are 352, 684, 380, 668

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668


GCD of numbers is the greatest common divisor

So, the GCD (352, 684, 380, 668) = 4.

Find GCD of 352, 684, 380, 668 using Prime Factorization

Given numbers are 352, 684, 380, 668

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 668 are 2 x 2 x 167

The highest common occurrence is 22

Therefore, GCD of 352, 684, 380, 668 is 4.

Steps to Calculate GCD of 352, 684, 380, 668 using LCM Formula

Given numbers are 352, 684, 380, 668

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

Apply this formula for all numbers.

Step1:

LCM(352, 684) = 60192

GCD(352, 684) = ( 352 x 684 ) / 60192

= 352 / 684

= 352


Step2:

LCM(4, 380) = 380

GCD(4, 380) = ( 4 x 380 ) / 380

= 4 / 380

= 4


Step3:

LCM(4, 668) = 668

GCD(4, 668) = ( 4 x 668 ) / 668

= 4 / 668

= 4


So, Greatest Common Divisor of 352, 684, 380, 668 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 352, 684, 380, 668

Given numbers are 352, 684, 380, 668
The greatest common divisor of numbers 352, 684, 380, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 684, 380, 668 is 4.

FAQs on GCD of 352, 684, 380, 668 Calculator

1. What is the GCD of 352, 684, 380, 668?

GCD of given numbers 352, 684, 380, 668 is 4


2. How to calculate the greatest common divisor of 352, 684, 380, 668?

We can find the highest common divisor of 352, 684, 380, 668 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 352, 684, 380, 668 i.e 4.


3. How can I use the GCD of 352, 684, 380, 668Calculator?

Out the numbers 352, 684, 380, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.