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GCD of 816, 132, 500, 307 Calculator

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


Online GCD Calculator is useful to find the GCD of 816, 132, 500, 307 quickly. Get the easiest ways to solve the greatest common divisor of 816, 132, 500, 307 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 132, 500, 307 with Factoring?

Given Input numbers are 816, 132, 500, 307

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307


GCD of numbers is the greatest common divisor

So, the GCD (816, 132, 500, 307) = 1.

Find GCD of 816, 132, 500, 307 using Prime Factorization

Given numbers are 816, 132, 500, 307

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 307 are 307

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

Steps to Calculate GCD of 816, 132, 500, 307 using LCM Formula

Given numbers are 816, 132, 500, 307

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

Apply this formula for all numbers.

Step1:

LCM(816, 132) = 8976

GCD(816, 132) = ( 816 x 132 ) / 8976

= 816 / 132

= 816


Step2:

LCM(12, 500) = 1500

GCD(12, 500) = ( 12 x 500 ) / 1500

= 12 / 500

= 12


Step3:

LCM(4, 307) = 1228

GCD(4, 307) = ( 4 x 307 ) / 1228

= 4 / 307

= 4


So, Greatest Common Divisor of 816, 132, 500, 307 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 132, 500, 307

Given numbers are 816, 132, 500, 307
The greatest common divisor of numbers 816, 132, 500, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 132, 500, 307 is 1.

FAQs on GCD of 816, 132, 500, 307 Calculator

1. What is the GCD of 816, 132, 500, 307?

GCD of given numbers 816, 132, 500, 307 is 1


2. How to calculate the greatest common divisor of 816, 132, 500, 307?

We can find the highest common divisor of 816, 132, 500, 307 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 816, 132, 500, 307 i.e 1.


3. How can I use the GCD of 816, 132, 500, 307Calculator?

Out the numbers 816, 132, 500, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.