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GCD of 620, 706, 816, 966 Calculator

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


Online GCD Calculator is useful to find the GCD of 620, 706, 816, 966 quickly. Get the easiest ways to solve the greatest common divisor of 620, 706, 816, 966 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 620, 706, 816, 966 with Factoring?

Given Input numbers are 620, 706, 816, 966

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

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 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966


GCD of numbers is the greatest common divisor

So, the GCD (620, 706, 816, 966) = 2.

Find GCD of 620, 706, 816, 966 using Prime Factorization

Given numbers are 620, 706, 816, 966

The list of prime factors of all numbers are

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

Prime factors of 706 are 2 x 353

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

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 21

Therefore, GCD of 620, 706, 816, 966 is 2.

Steps to Calculate GCD of 620, 706, 816, 966 using LCM Formula

Given numbers are 620, 706, 816, 966

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

Apply this formula for all numbers.

Step1:

LCM(620, 706) = 218860

GCD(620, 706) = ( 620 x 706 ) / 218860

= 620 / 706

= 620


Step2:

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

= 2 / 816

= 2


Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2


So, Greatest Common Divisor of 620, 706, 816, 966 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 620, 706, 816, 966

Given numbers are 620, 706, 816, 966
The greatest common divisor of numbers 620, 706, 816, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 620, 706, 816, 966 is 2.

FAQs on GCD of 620, 706, 816, 966 Calculator

1. What is the GCD of 620, 706, 816, 966?

GCD of given numbers 620, 706, 816, 966 is 2


2. How to calculate the greatest common divisor of 620, 706, 816, 966?

We can find the highest common divisor of 620, 706, 816, 966 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 620, 706, 816, 966 i.e 2.


3. How can I use the GCD of 620, 706, 816, 966Calculator?

Out the numbers 620, 706, 816, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.