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GCD of 616, 832, 480, 734 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, 832, 480, 734 quickly. Get the easiest ways to solve the greatest common divisor of 616, 832, 480, 734 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 616, 832, 480, 734 with Factoring?

Given Input numbers are 616, 832, 480, 734

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 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734


GCD of numbers is the greatest common divisor

So, the GCD (616, 832, 480, 734) = 2.

Find GCD of 616, 832, 480, 734 using Prime Factorization

Given numbers are 616, 832, 480, 734

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 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 734 are 2 x 367

The highest common occurrence is 21

Therefore, GCD of 616, 832, 480, 734 is 2.

Steps to Calculate GCD of 616, 832, 480, 734 using LCM Formula

Given numbers are 616, 832, 480, 734

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

Apply this formula for all numbers.

Step1:

LCM(616, 832) = 64064

GCD(616, 832) = ( 616 x 832 ) / 64064

= 616 / 832

= 616


Step2:

LCM(8, 480) = 480

GCD(8, 480) = ( 8 x 480 ) / 480

= 8 / 480

= 8


Step3:

LCM(8, 734) = 2936

GCD(8, 734) = ( 8 x 734 ) / 2936

= 8 / 734

= 8


So, Greatest Common Divisor of 616, 832, 480, 734 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 616, 832, 480, 734

Given numbers are 616, 832, 480, 734
The greatest common divisor of numbers 616, 832, 480, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 832, 480, 734 is 2.

FAQs on GCD of 616, 832, 480, 734 Calculator

1. What is the GCD of 616, 832, 480, 734?

GCD of given numbers 616, 832, 480, 734 is 2


2. How to calculate the greatest common divisor of 616, 832, 480, 734?

We can find the highest common divisor of 616, 832, 480, 734 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, 832, 480, 734 i.e 2.


3. How can I use the GCD of 616, 832, 480, 734Calculator?

Out the numbers 616, 832, 480, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.