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GCD of 855, 300, 332, 688 Calculator

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


Online GCD Calculator is useful to find the GCD of 855, 300, 332, 688 quickly. Get the easiest ways to solve the greatest common divisor of 855, 300, 332, 688 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 855, 300, 332, 688 with Factoring?

Given Input numbers are 855, 300, 332, 688

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

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688


GCD of numbers is the greatest common divisor

So, the GCD (855, 300, 332, 688) = 1.

Find GCD of 855, 300, 332, 688 using Prime Factorization

Given numbers are 855, 300, 332, 688

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 332 are 2 x 2 x 83

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Steps to Calculate GCD of 855, 300, 332, 688 using LCM Formula

Given numbers are 855, 300, 332, 688

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

Apply this formula for all numbers.

Step1:

LCM(855, 300) = 17100

GCD(855, 300) = ( 855 x 300 ) / 17100

= 855 / 300

= 855


Step2:

LCM(15, 332) = 4980

GCD(15, 332) = ( 15 x 332 ) / 4980

= 15 / 332

= 15


Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1


So, Greatest Common Divisor of 855, 300, 332, 688 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 855, 300, 332, 688

Given numbers are 855, 300, 332, 688
The greatest common divisor of numbers 855, 300, 332, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 300, 332, 688 is 1.

FAQs on GCD of 855, 300, 332, 688 Calculator

1. What is the GCD of 855, 300, 332, 688?

GCD of given numbers 855, 300, 332, 688 is 1


2. How to calculate the greatest common divisor of 855, 300, 332, 688?

We can find the highest common divisor of 855, 300, 332, 688 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 855, 300, 332, 688 i.e 1.


3. How can I use the GCD of 855, 300, 332, 688Calculator?

Out the numbers 855, 300, 332, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.