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GCD of 604, 496, 616, 968 Calculator

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


Online GCD Calculator is useful to find the GCD of 604, 496, 616, 968 quickly. Get the easiest ways to solve the greatest common divisor of 604, 496, 616, 968 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 604, 496, 616, 968 with Factoring?

Given Input numbers are 604, 496, 616, 968

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

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968


GCD of numbers is the greatest common divisor

So, the GCD (604, 496, 616, 968) = 4.

Find GCD of 604, 496, 616, 968 using Prime Factorization

Given numbers are 604, 496, 616, 968

The list of prime factors of all numbers are

Prime factors of 604 are 2 x 2 x 151

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

The highest common occurrence is 22

Therefore, GCD of 604, 496, 616, 968 is 4.

Steps to Calculate GCD of 604, 496, 616, 968 using LCM Formula

Given numbers are 604, 496, 616, 968

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

Apply this formula for all numbers.

Step1:

LCM(604, 496) = 74896

GCD(604, 496) = ( 604 x 496 ) / 74896

= 604 / 496

= 604


Step2:

LCM(4, 616) = 616

GCD(4, 616) = ( 4 x 616 ) / 616

= 4 / 616

= 4


Step3:

LCM(4, 968) = 968

GCD(4, 968) = ( 4 x 968 ) / 968

= 4 / 968

= 4


So, Greatest Common Divisor of 604, 496, 616, 968 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 604, 496, 616, 968

Given numbers are 604, 496, 616, 968
The greatest common divisor of numbers 604, 496, 616, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 496, 616, 968 is 4.

FAQs on GCD of 604, 496, 616, 968 Calculator

1. What is the GCD of 604, 496, 616, 968?

GCD of given numbers 604, 496, 616, 968 is 4


2. How to calculate the greatest common divisor of 604, 496, 616, 968?

We can find the highest common divisor of 604, 496, 616, 968 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 604, 496, 616, 968 i.e 4.


3. How can I use the GCD of 604, 496, 616, 968Calculator?

Out the numbers 604, 496, 616, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.