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GCD of 200, 855, 708, 272 Calculator

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


Online GCD Calculator is useful to find the GCD of 200, 855, 708, 272 quickly. Get the easiest ways to solve the greatest common divisor of 200, 855, 708, 272 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 200, 855, 708, 272 with Factoring?

Given Input numbers are 200, 855, 708, 272

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272


GCD of numbers is the greatest common divisor

So, the GCD (200, 855, 708, 272) = 1.

Find GCD of 200, 855, 708, 272 using Prime Factorization

Given numbers are 200, 855, 708, 272

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 200, 855, 708, 272 using LCM Formula

Given numbers are 200, 855, 708, 272

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

Apply this formula for all numbers.

Step1:

LCM(200, 855) = 34200

GCD(200, 855) = ( 200 x 855 ) / 34200

= 200 / 855

= 200


Step2:

LCM(5, 708) = 3540

GCD(5, 708) = ( 5 x 708 ) / 3540

= 5 / 708

= 5


Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1


So, Greatest Common Divisor of 200, 855, 708, 272 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 200, 855, 708, 272

Given numbers are 200, 855, 708, 272
The greatest common divisor of numbers 200, 855, 708, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 855, 708, 272 is 1.

FAQs on GCD of 200, 855, 708, 272 Calculator

1. What is the GCD of 200, 855, 708, 272?

GCD of given numbers 200, 855, 708, 272 is 1


2. How to calculate the greatest common divisor of 200, 855, 708, 272?

We can find the highest common divisor of 200, 855, 708, 272 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 200, 855, 708, 272 i.e 1.


3. How can I use the GCD of 200, 855, 708, 272Calculator?

Out the numbers 200, 855, 708, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.