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GCD of 616, 616, 651, 574 Calculator

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


Online GCD Calculator is useful to find the GCD of 616, 616, 651, 574 quickly. Get the easiest ways to solve the greatest common divisor of 616, 616, 651, 574 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 616, 616, 651, 574 with Factoring?

Given Input numbers are 616, 616, 651, 574

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

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 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 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574


GCD of numbers is the greatest common divisor

So, the GCD (616, 616, 651, 574) = 7.

Find GCD of 616, 616, 651, 574 using Prime Factorization

Given numbers are 616, 616, 651, 574

The list of prime factors of all numbers are

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

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

Prime factors of 651 are 3 x 7 x 31

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 71

Therefore, GCD of 616, 616, 651, 574 is 7.

Steps to Calculate GCD of 616, 616, 651, 574 using LCM Formula

Given numbers are 616, 616, 651, 574

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

Apply this formula for all numbers.

Step1:

LCM(616, 616) = 616

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

= 616 / 616

= 616


Step2:

LCM(616, 651) = 57288

GCD(616, 651) = ( 616 x 651 ) / 57288

= 616 / 651

= 616


Step3:

LCM(7, 574) = 574

GCD(7, 574) = ( 7 x 574 ) / 574

= 7 / 574

= 7


So, Greatest Common Divisor of 616, 616, 651, 574 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 616, 616, 651, 574

Given numbers are 616, 616, 651, 574
The greatest common divisor of numbers 616, 616, 651, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 616, 651, 574 is 7.

FAQs on GCD of 616, 616, 651, 574 Calculator

1. What is the GCD of 616, 616, 651, 574?

GCD of given numbers 616, 616, 651, 574 is 7


2. How to calculate the greatest common divisor of 616, 616, 651, 574?

We can find the highest common divisor of 616, 616, 651, 574 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 616, 616, 651, 574 i.e 7.


3. How can I use the GCD of 616, 616, 651, 574Calculator?

Out the numbers 616, 616, 651, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.