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GCD of 522, 706, 948 Calculator

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


Online GCD Calculator is useful to find the GCD of 522, 706, 948 quickly. Get the easiest ways to solve the greatest common divisor of 522, 706, 948 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 522, 706, 948 with Factoring?

Given Input numbers are 522, 706, 948

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

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948


GCD of numbers is the greatest common divisor

So, the GCD (522, 706, 948) = 2.

Find GCD of 522, 706, 948 using Prime Factorization

Given numbers are 522, 706, 948

The list of prime factors of all numbers are

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

Prime factors of 706 are 2 x 353

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 21

Therefore, GCD of 522, 706, 948 is 2.

Steps to Calculate GCD of 522, 706, 948 using LCM Formula

Given numbers are 522, 706, 948

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

Apply this formula for all numbers.

Step1:

LCM(522, 706) = 184266

GCD(522, 706) = ( 522 x 706 ) / 184266

= 522 / 706

= 522


Step2:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2


So, Greatest Common Divisor of 522, 706, 948 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 522, 706, 948

Given numbers are 522, 706, 948
The greatest common divisor of numbers 522, 706, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 706, 948 is 2.

FAQs on GCD of 522, 706, 948 Calculator

1. What is the GCD of 522, 706, 948?

GCD of given numbers 522, 706, 948 is 2


2. How to calculate the greatest common divisor of 522, 706, 948?

We can find the highest common divisor of 522, 706, 948 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 522, 706, 948 i.e 2.


3. How can I use the GCD of 522, 706, 948Calculator?

Out the numbers 522, 706, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.