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GCD of 716, 628, 832, 532 Calculator

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


Online GCD Calculator is useful to find the GCD of 716, 628, 832, 532 quickly. Get the easiest ways to solve the greatest common divisor of 716, 628, 832, 532 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 716, 628, 832, 532 with Factoring?

Given Input numbers are 716, 628, 832, 532

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532


GCD of numbers is the greatest common divisor

So, the GCD (716, 628, 832, 532) = 4.

Find GCD of 716, 628, 832, 532 using Prime Factorization

Given numbers are 716, 628, 832, 532

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 628 are 2 x 2 x 157

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 22

Therefore, GCD of 716, 628, 832, 532 is 4.

Steps to Calculate GCD of 716, 628, 832, 532 using LCM Formula

Given numbers are 716, 628, 832, 532

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

Apply this formula for all numbers.

Step1:

LCM(716, 628) = 112412

GCD(716, 628) = ( 716 x 628 ) / 112412

= 716 / 628

= 716


Step2:

LCM(4, 832) = 832

GCD(4, 832) = ( 4 x 832 ) / 832

= 4 / 832

= 4


Step3:

LCM(4, 532) = 532

GCD(4, 532) = ( 4 x 532 ) / 532

= 4 / 532

= 4


So, Greatest Common Divisor of 716, 628, 832, 532 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 716, 628, 832, 532

Given numbers are 716, 628, 832, 532
The greatest common divisor of numbers 716, 628, 832, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 628, 832, 532 is 4.

FAQs on GCD of 716, 628, 832, 532 Calculator

1. What is the GCD of 716, 628, 832, 532?

GCD of given numbers 716, 628, 832, 532 is 4


2. How to calculate the greatest common divisor of 716, 628, 832, 532?

We can find the highest common divisor of 716, 628, 832, 532 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 716, 628, 832, 532 i.e 4.


3. How can I use the GCD of 716, 628, 832, 532Calculator?

Out the numbers 716, 628, 832, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.