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GCD of 240, 291, 702, 963 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 291, 702, 963 quickly. Get the easiest ways to solve the greatest common divisor of 240, 291, 702, 963 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 291, 702, 963 with Factoring?

Given Input numbers are 240, 291, 702, 963

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 963 :

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

1, 3, 9, 107, 321, 963


GCD of numbers is the greatest common divisor

So, the GCD (240, 291, 702, 963) = 3.

Find GCD of 240, 291, 702, 963 using Prime Factorization

Given numbers are 240, 291, 702, 963

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 291 are 3 x 97

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 963 are 3 x 3 x 107

The highest common occurrence is 31

Therefore, GCD of 240, 291, 702, 963 is 3.

Steps to Calculate GCD of 240, 291, 702, 963 using LCM Formula

Given numbers are 240, 291, 702, 963

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

Apply this formula for all numbers.

Step1:

LCM(240, 291) = 23280

GCD(240, 291) = ( 240 x 291 ) / 23280

= 240 / 291

= 240


Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3


Step3:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3


So, Greatest Common Divisor of 240, 291, 702, 963 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 291, 702, 963

Given numbers are 240, 291, 702, 963
The greatest common divisor of numbers 240, 291, 702, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 291, 702, 963 is 3.

FAQs on GCD of 240, 291, 702, 963 Calculator

1. What is the GCD of 240, 291, 702, 963?

GCD of given numbers 240, 291, 702, 963 is 3


2. How to calculate the greatest common divisor of 240, 291, 702, 963?

We can find the highest common divisor of 240, 291, 702, 963 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 240, 291, 702, 963 i.e 3.


3. How can I use the GCD of 240, 291, 702, 963Calculator?

Out the numbers 240, 291, 702, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.