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GCD of 824, 392, 763, 522 Calculator

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


Online GCD Calculator is useful to find the GCD of 824, 392, 763, 522 quickly. Get the easiest ways to solve the greatest common divisor of 824, 392, 763, 522 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 824, 392, 763, 522 with Factoring?

Given Input numbers are 824, 392, 763, 522

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522


GCD of numbers is the greatest common divisor

So, the GCD (824, 392, 763, 522) = 1.

Find GCD of 824, 392, 763, 522 using Prime Factorization

Given numbers are 824, 392, 763, 522

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 763 are 7 x 109

Prime factors of 522 are 2 x 3 x 3 x 29

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

Steps to Calculate GCD of 824, 392, 763, 522 using LCM Formula

Given numbers are 824, 392, 763, 522

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

Apply this formula for all numbers.

Step1:

LCM(824, 392) = 40376

GCD(824, 392) = ( 824 x 392 ) / 40376

= 824 / 392

= 824


Step2:

LCM(8, 763) = 6104

GCD(8, 763) = ( 8 x 763 ) / 6104

= 8 / 763

= 8


Step3:

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

= 1 / 522

= 1


So, Greatest Common Divisor of 824, 392, 763, 522 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 824, 392, 763, 522

Given numbers are 824, 392, 763, 522
The greatest common divisor of numbers 824, 392, 763, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 392, 763, 522 is 1.

FAQs on GCD of 824, 392, 763, 522 Calculator

1. What is the GCD of 824, 392, 763, 522?

GCD of given numbers 824, 392, 763, 522 is 1


2. How to calculate the greatest common divisor of 824, 392, 763, 522?

We can find the highest common divisor of 824, 392, 763, 522 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 824, 392, 763, 522 i.e 1.


3. How can I use the GCD of 824, 392, 763, 522Calculator?

Out the numbers 824, 392, 763, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.