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GCD of 616, 338, 619, 739 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, 338, 619, 739 quickly. Get the easiest ways to solve the greatest common divisor of 616, 338, 619, 739 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 616, 338, 619, 739 with Factoring?

Given Input numbers are 616, 338, 619, 739

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 619 :

The positive integer divisors of 619 that completely divides 619 are.

1, 619

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739


GCD of numbers is the greatest common divisor

So, the GCD (616, 338, 619, 739) = 1.

Find GCD of 616, 338, 619, 739 using Prime Factorization

Given numbers are 616, 338, 619, 739

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 338 are 2 x 13 x 13

Prime factors of 619 are 619

Prime factors of 739 are 739

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 616, 338, 619, 739 using LCM Formula

Given numbers are 616, 338, 619, 739

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

Apply this formula for all numbers.

Step1:

LCM(616, 338) = 104104

GCD(616, 338) = ( 616 x 338 ) / 104104

= 616 / 338

= 616


Step2:

LCM(2, 619) = 1238

GCD(2, 619) = ( 2 x 619 ) / 1238

= 2 / 619

= 2


Step3:

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

= 1 / 739

= 1


So, Greatest Common Divisor of 616, 338, 619, 739 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 616, 338, 619, 739

Given numbers are 616, 338, 619, 739
The greatest common divisor of numbers 616, 338, 619, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 338, 619, 739 is 1.

FAQs on GCD of 616, 338, 619, 739 Calculator

1. What is the GCD of 616, 338, 619, 739?

GCD of given numbers 616, 338, 619, 739 is 1


2. How to calculate the greatest common divisor of 616, 338, 619, 739?

We can find the highest common divisor of 616, 338, 619, 739 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, 338, 619, 739 i.e 1.


3. How can I use the GCD of 616, 338, 619, 739Calculator?

Out the numbers 616, 338, 619, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.