LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 828, 652, 352, 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 828, 652, 352, 532 quickly. Get the easiest ways to solve the greatest common divisor of 828, 652, 352, 532 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 828, 652, 352, 532 with Factoring?

Given Input numbers are 828, 652, 352, 532

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 (828, 652, 352, 532) = 4.

Find GCD of 828, 652, 352, 532 using Prime Factorization

Given numbers are 828, 652, 352, 532

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 652 are 2 x 2 x 163

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

The highest common occurrence is 22

Therefore, GCD of 828, 652, 352, 532 is 4.

Steps to Calculate GCD of 828, 652, 352, 532 using LCM Formula

Given numbers are 828, 652, 352, 532

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

Apply this formula for all numbers.

Step1:

LCM(828, 652) = 134964

GCD(828, 652) = ( 828 x 652 ) / 134964

= 828 / 652

= 828


Step2:

LCM(4, 352) = 352

GCD(4, 352) = ( 4 x 352 ) / 352

= 4 / 352

= 4


Step3:

LCM(4, 532) = 532

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

= 4 / 532

= 4


So, Greatest Common Divisor of 828, 652, 352, 532 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 828, 652, 352, 532

Given numbers are 828, 652, 352, 532
The greatest common divisor of numbers 828, 652, 352, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 652, 352, 532 is 4.

FAQs on GCD of 828, 652, 352, 532 Calculator

1. What is the GCD of 828, 652, 352, 532?

GCD of given numbers 828, 652, 352, 532 is 4


2. How to calculate the greatest common divisor of 828, 652, 352, 532?

We can find the highest common divisor of 828, 652, 352, 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 828, 652, 352, 532 i.e 4.


3. How can I use the GCD of 828, 652, 352, 532Calculator?

Out the numbers 828, 652, 352, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.