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GCD of 532, 470, 296, 682 Calculator

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


Online GCD Calculator is useful to find the GCD of 532, 470, 296, 682 quickly. Get the easiest ways to solve the greatest common divisor of 532, 470, 296, 682 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 532, 470, 296, 682 with Factoring?

Given Input numbers are 532, 470, 296, 682

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

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682


GCD of numbers is the greatest common divisor

So, the GCD (532, 470, 296, 682) = 2.

Find GCD of 532, 470, 296, 682 using Prime Factorization

Given numbers are 532, 470, 296, 682

The list of prime factors of all numbers are

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 21

Therefore, GCD of 532, 470, 296, 682 is 2.

Steps to Calculate GCD of 532, 470, 296, 682 using LCM Formula

Given numbers are 532, 470, 296, 682

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

Apply this formula for all numbers.

Step1:

LCM(532, 470) = 125020

GCD(532, 470) = ( 532 x 470 ) / 125020

= 532 / 470

= 532


Step2:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2


Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2


So, Greatest Common Divisor of 532, 470, 296, 682 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 532, 470, 296, 682

Given numbers are 532, 470, 296, 682
The greatest common divisor of numbers 532, 470, 296, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 470, 296, 682 is 2.

FAQs on GCD of 532, 470, 296, 682 Calculator

1. What is the GCD of 532, 470, 296, 682?

GCD of given numbers 532, 470, 296, 682 is 2


2. How to calculate the greatest common divisor of 532, 470, 296, 682?

We can find the highest common divisor of 532, 470, 296, 682 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 532, 470, 296, 682 i.e 2.


3. How can I use the GCD of 532, 470, 296, 682Calculator?

Out the numbers 532, 470, 296, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.