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GCD of 940, 264, 464, 596 Calculator

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


Online GCD Calculator is useful to find the GCD of 940, 264, 464, 596 quickly. Get the easiest ways to solve the greatest common divisor of 940, 264, 464, 596 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 940, 264, 464, 596 with Factoring?

Given Input numbers are 940, 264, 464, 596

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596


GCD of numbers is the greatest common divisor

So, the GCD (940, 264, 464, 596) = 4.

Find GCD of 940, 264, 464, 596 using Prime Factorization

Given numbers are 940, 264, 464, 596

The list of prime factors of all numbers are

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 596 are 2 x 2 x 149

The highest common occurrence is 22

Therefore, GCD of 940, 264, 464, 596 is 4.

Steps to Calculate GCD of 940, 264, 464, 596 using LCM Formula

Given numbers are 940, 264, 464, 596

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

Apply this formula for all numbers.

Step1:

LCM(940, 264) = 62040

GCD(940, 264) = ( 940 x 264 ) / 62040

= 940 / 264

= 940


Step2:

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

= 4 / 464

= 4


Step3:

LCM(4, 596) = 596

GCD(4, 596) = ( 4 x 596 ) / 596

= 4 / 596

= 4


So, Greatest Common Divisor of 940, 264, 464, 596 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 940, 264, 464, 596

Given numbers are 940, 264, 464, 596
The greatest common divisor of numbers 940, 264, 464, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 264, 464, 596 is 4.

FAQs on GCD of 940, 264, 464, 596 Calculator

1. What is the GCD of 940, 264, 464, 596?

GCD of given numbers 940, 264, 464, 596 is 4


2. How to calculate the greatest common divisor of 940, 264, 464, 596?

We can find the highest common divisor of 940, 264, 464, 596 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 940, 264, 464, 596 i.e 4.


3. How can I use the GCD of 940, 264, 464, 596Calculator?

Out the numbers 940, 264, 464, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.