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GCD of 100, 360, 851 Calculator

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

Online GCD Calculator is useful to find the GCD of 100, 360, 851 quickly. Get the easiest ways to solve the greatest common divisor of 100, 360, 851 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 100, 360, 851 with Factoring?

Given Input numbers are 100, 360, 851

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851


GCD of numbers is the greatest common divisor

So, the GCD (100, 360, 851) = 1.

Find GCD of 100, 360, 851 using Prime Factorization

Given numbers are 100, 360, 851

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 851 are 23 x 37

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

Steps to Calculate GCD of 100, 360, 851 using LCM Formula

Given numbers are 100, 360, 851

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

Apply this formula for all numbers.

Step1:

LCM(100, 360) = 1800

GCD(100, 360) = ( 100 x 360 ) / 1800

= 100 / 360

= 100

Step2:

LCM(20, 851) = 17020

GCD(20, 851) = ( 20 x 851 ) / 17020

= 20 / 851

= 20


So, Greatest Common Divisor of 100, 360, 851 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 100, 360, 851

Given numbers are 100, 360, 851
The greatest common divisor of numbers 100, 360, 851 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 360, 851 is 1.

FAQs on GCD of 100, 360, 851 Calculator

1. What is the GCD of 100, 360, 851?

GCD of given numbers 100, 360, 851 is 1

2. How to calculate the greatest common divisor of 100, 360, 851?

We can find the highest common divisor of 100, 360, 851 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 100, 360, 851 i.e 1.

3. How can I use the GCD of 100, 360, 851Calculator?

Out the numbers 100, 360, 851 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.