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GCD of 963, 150, 597, 864 Calculator

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


Online GCD Calculator is useful to find the GCD of 963, 150, 597, 864 quickly. Get the easiest ways to solve the greatest common divisor of 963, 150, 597, 864 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 963, 150, 597, 864 with Factoring?

Given Input numbers are 963, 150, 597, 864

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

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 597 :

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

1, 3, 199, 597

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864


GCD of numbers is the greatest common divisor

So, the GCD (963, 150, 597, 864) = 3.

Find GCD of 963, 150, 597, 864 using Prime Factorization

Given numbers are 963, 150, 597, 864

The list of prime factors of all numbers are

Prime factors of 963 are 3 x 3 x 107

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 597 are 3 x 199

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 963, 150, 597, 864 is 3.

Steps to Calculate GCD of 963, 150, 597, 864 using LCM Formula

Given numbers are 963, 150, 597, 864

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

Apply this formula for all numbers.

Step1:

LCM(963, 150) = 48150

GCD(963, 150) = ( 963 x 150 ) / 48150

= 963 / 150

= 963


Step2:

LCM(3, 597) = 597

GCD(3, 597) = ( 3 x 597 ) / 597

= 3 / 597

= 3


Step3:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3


So, Greatest Common Divisor of 963, 150, 597, 864 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 963, 150, 597, 864

Given numbers are 963, 150, 597, 864
The greatest common divisor of numbers 963, 150, 597, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 963, 150, 597, 864 is 3.

FAQs on GCD of 963, 150, 597, 864 Calculator

1. What is the GCD of 963, 150, 597, 864?

GCD of given numbers 963, 150, 597, 864 is 3


2. How to calculate the greatest common divisor of 963, 150, 597, 864?

We can find the highest common divisor of 963, 150, 597, 864 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 963, 150, 597, 864 i.e 3.


3. How can I use the GCD of 963, 150, 597, 864Calculator?

Out the numbers 963, 150, 597, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.