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GCD of 582, 240, 942, 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 582, 240, 942, 963 quickly. Get the easiest ways to solve the greatest common divisor of 582, 240, 942, 963 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 582, 240, 942, 963 with Factoring?

Given Input numbers are 582, 240, 942, 963

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

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 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

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 (582, 240, 942, 963) = 3.

Find GCD of 582, 240, 942, 963 using Prime Factorization

Given numbers are 582, 240, 942, 963

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

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

Prime factors of 942 are 2 x 3 x 157

Prime factors of 963 are 3 x 3 x 107

The highest common occurrence is 31

Therefore, GCD of 582, 240, 942, 963 is 3.

Steps to Calculate GCD of 582, 240, 942, 963 using LCM Formula

Given numbers are 582, 240, 942, 963

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

Apply this formula for all numbers.

Step1:

LCM(582, 240) = 23280

GCD(582, 240) = ( 582 x 240 ) / 23280

= 582 / 240

= 582


Step2:

LCM(6, 942) = 942

GCD(6, 942) = ( 6 x 942 ) / 942

= 6 / 942

= 6


Step3:

LCM(6, 963) = 1926

GCD(6, 963) = ( 6 x 963 ) / 1926

= 6 / 963

= 6


So, Greatest Common Divisor of 582, 240, 942, 963 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 582, 240, 942, 963

Given numbers are 582, 240, 942, 963
The greatest common divisor of numbers 582, 240, 942, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 240, 942, 963 is 3.

FAQs on GCD of 582, 240, 942, 963 Calculator

1. What is the GCD of 582, 240, 942, 963?

GCD of given numbers 582, 240, 942, 963 is 3


2. How to calculate the greatest common divisor of 582, 240, 942, 963?

We can find the highest common divisor of 582, 240, 942, 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 582, 240, 942, 963 i.e 3.


3. How can I use the GCD of 582, 240, 942, 963Calculator?

Out the numbers 582, 240, 942, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.