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GCD of 966, 846, 374 Calculator

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


Online GCD Calculator is useful to find the GCD of 966, 846, 374 quickly. Get the easiest ways to solve the greatest common divisor of 966, 846, 374 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 846, 374 with Factoring?

Given Input numbers are 966, 846, 374

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

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 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374


GCD of numbers is the greatest common divisor

So, the GCD (966, 846, 374) = 2.

Find GCD of 966, 846, 374 using Prime Factorization

Given numbers are 966, 846, 374

The list of prime factors of all numbers are

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

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 21

Therefore, GCD of 966, 846, 374 is 2.

Steps to Calculate GCD of 966, 846, 374 using LCM Formula

Given numbers are 966, 846, 374

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

Apply this formula for all numbers.

Step1:

LCM(966, 846) = 136206

GCD(966, 846) = ( 966 x 846 ) / 136206

= 966 / 846

= 966


Step2:

LCM(6, 374) = 1122

GCD(6, 374) = ( 6 x 374 ) / 1122

= 6 / 374

= 6


So, Greatest Common Divisor of 966, 846, 374 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 846, 374

Given numbers are 966, 846, 374
The greatest common divisor of numbers 966, 846, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 846, 374 is 2.

FAQs on GCD of 966, 846, 374 Calculator

1. What is the GCD of 966, 846, 374?

GCD of given numbers 966, 846, 374 is 2


2. How to calculate the greatest common divisor of 966, 846, 374?

We can find the highest common divisor of 966, 846, 374 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 966, 846, 374 i.e 2.


3. How can I use the GCD of 966, 846, 374Calculator?

Out the numbers 966, 846, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.