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GCD of 900, 379, 916, 843 Calculator

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


Online GCD Calculator is useful to find the GCD of 900, 379, 916, 843 quickly. Get the easiest ways to solve the greatest common divisor of 900, 379, 916, 843 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 379, 916, 843 with Factoring?

Given Input numbers are 900, 379, 916, 843

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843


GCD of numbers is the greatest common divisor

So, the GCD (900, 379, 916, 843) = 1.

Find GCD of 900, 379, 916, 843 using Prime Factorization

Given numbers are 900, 379, 916, 843

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 379 are 379

Prime factors of 916 are 2 x 2 x 229

Prime factors of 843 are 3 x 281

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

Steps to Calculate GCD of 900, 379, 916, 843 using LCM Formula

Given numbers are 900, 379, 916, 843

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

Apply this formula for all numbers.

Step1:

LCM(900, 379) = 341100

GCD(900, 379) = ( 900 x 379 ) / 341100

= 900 / 379

= 900


Step2:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1


Step3:

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

= 1 / 843

= 1


So, Greatest Common Divisor of 900, 379, 916, 843 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 379, 916, 843

Given numbers are 900, 379, 916, 843
The greatest common divisor of numbers 900, 379, 916, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 379, 916, 843 is 1.

FAQs on GCD of 900, 379, 916, 843 Calculator

1. What is the GCD of 900, 379, 916, 843?

GCD of given numbers 900, 379, 916, 843 is 1


2. How to calculate the greatest common divisor of 900, 379, 916, 843?

We can find the highest common divisor of 900, 379, 916, 843 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 900, 379, 916, 843 i.e 1.


3. How can I use the GCD of 900, 379, 916, 843Calculator?

Out the numbers 900, 379, 916, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.