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GCD of 966, 597, 621, 480 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, 597, 621, 480 quickly. Get the easiest ways to solve the greatest common divisor of 966, 597, 621, 480 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 597, 621, 480 with Factoring?

Given Input numbers are 966, 597, 621, 480

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 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480


GCD of numbers is the greatest common divisor

So, the GCD (966, 597, 621, 480) = 3.

Find GCD of 966, 597, 621, 480 using Prime Factorization

Given numbers are 966, 597, 621, 480

The list of prime factors of all numbers are

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

Prime factors of 597 are 3 x 199

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 31

Therefore, GCD of 966, 597, 621, 480 is 3.

Steps to Calculate GCD of 966, 597, 621, 480 using LCM Formula

Given numbers are 966, 597, 621, 480

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

Apply this formula for all numbers.

Step1:

LCM(966, 597) = 192234

GCD(966, 597) = ( 966 x 597 ) / 192234

= 966 / 597

= 966


Step2:

LCM(3, 621) = 621

GCD(3, 621) = ( 3 x 621 ) / 621

= 3 / 621

= 3


Step3:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3


So, Greatest Common Divisor of 966, 597, 621, 480 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 597, 621, 480

Given numbers are 966, 597, 621, 480
The greatest common divisor of numbers 966, 597, 621, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 597, 621, 480 is 3.

FAQs on GCD of 966, 597, 621, 480 Calculator

1. What is the GCD of 966, 597, 621, 480?

GCD of given numbers 966, 597, 621, 480 is 3


2. How to calculate the greatest common divisor of 966, 597, 621, 480?

We can find the highest common divisor of 966, 597, 621, 480 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, 597, 621, 480 i.e 3.


3. How can I use the GCD of 966, 597, 621, 480Calculator?

Out the numbers 966, 597, 621, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.