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GCD of 108, 185, 173, 700 Calculator

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


Online GCD Calculator is useful to find the GCD of 108, 185, 173, 700 quickly. Get the easiest ways to solve the greatest common divisor of 108, 185, 173, 700 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 108, 185, 173, 700 with Factoring?

Given Input numbers are 108, 185, 173, 700

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 173 :

The positive integer divisors of 173 that completely divides 173 are.

1, 173

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700


GCD of numbers is the greatest common divisor

So, the GCD (108, 185, 173, 700) = 1.

Find GCD of 108, 185, 173, 700 using Prime Factorization

Given numbers are 108, 185, 173, 700

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 185 are 5 x 37

Prime factors of 173 are 173

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Steps to Calculate GCD of 108, 185, 173, 700 using LCM Formula

Given numbers are 108, 185, 173, 700

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

Apply this formula for all numbers.

Step1:

LCM(108, 185) = 19980

GCD(108, 185) = ( 108 x 185 ) / 19980

= 108 / 185

= 108


Step2:

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

= 1 / 173

= 1


Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1


So, Greatest Common Divisor of 108, 185, 173, 700 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 108, 185, 173, 700

Given numbers are 108, 185, 173, 700
The greatest common divisor of numbers 108, 185, 173, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 185, 173, 700 is 1.

FAQs on GCD of 108, 185, 173, 700 Calculator

1. What is the GCD of 108, 185, 173, 700?

GCD of given numbers 108, 185, 173, 700 is 1


2. How to calculate the greatest common divisor of 108, 185, 173, 700?

We can find the highest common divisor of 108, 185, 173, 700 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 108, 185, 173, 700 i.e 1.


3. How can I use the GCD of 108, 185, 173, 700Calculator?

Out the numbers 108, 185, 173, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.