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GCD of 816, 908, 946, 762 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, 908, 946, 762 quickly. Get the easiest ways to solve the greatest common divisor of 816, 908, 946, 762 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 908, 946, 762 with Factoring?

Given Input numbers are 816, 908, 946, 762

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762


GCD of numbers is the greatest common divisor

So, the GCD (816, 908, 946, 762) = 2.

Find GCD of 816, 908, 946, 762 using Prime Factorization

Given numbers are 816, 908, 946, 762

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 908 are 2 x 2 x 227

Prime factors of 946 are 2 x 11 x 43

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 21

Therefore, GCD of 816, 908, 946, 762 is 2.

Steps to Calculate GCD of 816, 908, 946, 762 using LCM Formula

Given numbers are 816, 908, 946, 762

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

Apply this formula for all numbers.

Step1:

LCM(816, 908) = 185232

GCD(816, 908) = ( 816 x 908 ) / 185232

= 816 / 908

= 816


Step2:

LCM(4, 946) = 1892

GCD(4, 946) = ( 4 x 946 ) / 1892

= 4 / 946

= 4


Step3:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2


So, Greatest Common Divisor of 816, 908, 946, 762 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 908, 946, 762

Given numbers are 816, 908, 946, 762
The greatest common divisor of numbers 816, 908, 946, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 908, 946, 762 is 2.

FAQs on GCD of 816, 908, 946, 762 Calculator

1. What is the GCD of 816, 908, 946, 762?

GCD of given numbers 816, 908, 946, 762 is 2


2. How to calculate the greatest common divisor of 816, 908, 946, 762?

We can find the highest common divisor of 816, 908, 946, 762 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, 908, 946, 762 i.e 2.


3. How can I use the GCD of 816, 908, 946, 762Calculator?

Out the numbers 816, 908, 946, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.