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GCD of 736, 930, 966, 708 Calculator

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


Online GCD Calculator is useful to find the GCD of 736, 930, 966, 708 quickly. Get the easiest ways to solve the greatest common divisor of 736, 930, 966, 708 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 736, 930, 966, 708 with Factoring?

Given Input numbers are 736, 930, 966, 708

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708


GCD of numbers is the greatest common divisor

So, the GCD (736, 930, 966, 708) = 2.

Find GCD of 736, 930, 966, 708 using Prime Factorization

Given numbers are 736, 930, 966, 708

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 930 are 2 x 3 x 5 x 31

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

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 21

Therefore, GCD of 736, 930, 966, 708 is 2.

Steps to Calculate GCD of 736, 930, 966, 708 using LCM Formula

Given numbers are 736, 930, 966, 708

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

Apply this formula for all numbers.

Step1:

LCM(736, 930) = 342240

GCD(736, 930) = ( 736 x 930 ) / 342240

= 736 / 930

= 736


Step2:

LCM(2, 966) = 966

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

= 2 / 966

= 2


Step3:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2


So, Greatest Common Divisor of 736, 930, 966, 708 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 736, 930, 966, 708

Given numbers are 736, 930, 966, 708
The greatest common divisor of numbers 736, 930, 966, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 930, 966, 708 is 2.

FAQs on GCD of 736, 930, 966, 708 Calculator

1. What is the GCD of 736, 930, 966, 708?

GCD of given numbers 736, 930, 966, 708 is 2


2. How to calculate the greatest common divisor of 736, 930, 966, 708?

We can find the highest common divisor of 736, 930, 966, 708 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 736, 930, 966, 708 i.e 2.


3. How can I use the GCD of 736, 930, 966, 708Calculator?

Out the numbers 736, 930, 966, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.