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GCD of 986, 816, 620, 264 Calculator

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


Online GCD Calculator is useful to find the GCD of 986, 816, 620, 264 quickly. Get the easiest ways to solve the greatest common divisor of 986, 816, 620, 264 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 986, 816, 620, 264 with Factoring?

Given Input numbers are 986, 816, 620, 264

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

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

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 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264


GCD of numbers is the greatest common divisor

So, the GCD (986, 816, 620, 264) = 2.

Find GCD of 986, 816, 620, 264 using Prime Factorization

Given numbers are 986, 816, 620, 264

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

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

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 986, 816, 620, 264 is 2.

Steps to Calculate GCD of 986, 816, 620, 264 using LCM Formula

Given numbers are 986, 816, 620, 264

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

Apply this formula for all numbers.

Step1:

LCM(986, 816) = 23664

GCD(986, 816) = ( 986 x 816 ) / 23664

= 986 / 816

= 986


Step2:

LCM(34, 620) = 10540

GCD(34, 620) = ( 34 x 620 ) / 10540

= 34 / 620

= 34


Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2


So, Greatest Common Divisor of 986, 816, 620, 264 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 986, 816, 620, 264

Given numbers are 986, 816, 620, 264
The greatest common divisor of numbers 986, 816, 620, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 816, 620, 264 is 2.

FAQs on GCD of 986, 816, 620, 264 Calculator

1. What is the GCD of 986, 816, 620, 264?

GCD of given numbers 986, 816, 620, 264 is 2


2. How to calculate the greatest common divisor of 986, 816, 620, 264?

We can find the highest common divisor of 986, 816, 620, 264 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 986, 816, 620, 264 i.e 2.


3. How can I use the GCD of 986, 816, 620, 264Calculator?

Out the numbers 986, 816, 620, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.