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GCD of 951, 396, 945 Calculator

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


Online GCD Calculator is useful to find the GCD of 951, 396, 945 quickly. Get the easiest ways to solve the greatest common divisor of 951, 396, 945 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 951, 396, 945 with Factoring?

Given Input numbers are 951, 396, 945

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

Divisors of 951 :

The positive integer divisors of 951 that completely divides 951 are.

1, 3, 317, 951

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945


GCD of numbers is the greatest common divisor

So, the GCD (951, 396, 945) = 3.

Find GCD of 951, 396, 945 using Prime Factorization

Given numbers are 951, 396, 945

The list of prime factors of all numbers are

Prime factors of 951 are 3 x 317

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

The highest common occurrence is 31

Therefore, GCD of 951, 396, 945 is 3.

Steps to Calculate GCD of 951, 396, 945 using LCM Formula

Given numbers are 951, 396, 945

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

Apply this formula for all numbers.

Step1:

LCM(951, 396) = 125532

GCD(951, 396) = ( 951 x 396 ) / 125532

= 951 / 396

= 951


Step2:

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

= 3 / 945

= 3


So, Greatest Common Divisor of 951, 396, 945 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 951, 396, 945

Given numbers are 951, 396, 945
The greatest common divisor of numbers 951, 396, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 951, 396, 945 is 3.

FAQs on GCD of 951, 396, 945 Calculator

1. What is the GCD of 951, 396, 945?

GCD of given numbers 951, 396, 945 is 3


2. How to calculate the greatest common divisor of 951, 396, 945?

We can find the highest common divisor of 951, 396, 945 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 951, 396, 945 i.e 3.


3. How can I use the GCD of 951, 396, 945Calculator?

Out the numbers 951, 396, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.