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GCD of 372, 336, 572, 208 Calculator

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


Online GCD Calculator is useful to find the GCD of 372, 336, 572, 208 quickly. Get the easiest ways to solve the greatest common divisor of 372, 336, 572, 208 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 372, 336, 572, 208 with Factoring?

Given Input numbers are 372, 336, 572, 208

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208


GCD of numbers is the greatest common divisor

So, the GCD (372, 336, 572, 208) = 4.

Find GCD of 372, 336, 572, 208 using Prime Factorization

Given numbers are 372, 336, 572, 208

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 22

Therefore, GCD of 372, 336, 572, 208 is 4.

Steps to Calculate GCD of 372, 336, 572, 208 using LCM Formula

Given numbers are 372, 336, 572, 208

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

Apply this formula for all numbers.

Step1:

LCM(372, 336) = 10416

GCD(372, 336) = ( 372 x 336 ) / 10416

= 372 / 336

= 372


Step2:

LCM(12, 572) = 1716

GCD(12, 572) = ( 12 x 572 ) / 1716

= 12 / 572

= 12


Step3:

LCM(4, 208) = 208

GCD(4, 208) = ( 4 x 208 ) / 208

= 4 / 208

= 4


So, Greatest Common Divisor of 372, 336, 572, 208 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 372, 336, 572, 208

Given numbers are 372, 336, 572, 208
The greatest common divisor of numbers 372, 336, 572, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 336, 572, 208 is 4.

FAQs on GCD of 372, 336, 572, 208 Calculator

1. What is the GCD of 372, 336, 572, 208?

GCD of given numbers 372, 336, 572, 208 is 4


2. How to calculate the greatest common divisor of 372, 336, 572, 208?

We can find the highest common divisor of 372, 336, 572, 208 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 372, 336, 572, 208 i.e 4.


3. How can I use the GCD of 372, 336, 572, 208Calculator?

Out the numbers 372, 336, 572, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.