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GCD of 788, 532, 892, 212 Calculator

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


Online GCD Calculator is useful to find the GCD of 788, 532, 892, 212 quickly. Get the easiest ways to solve the greatest common divisor of 788, 532, 892, 212 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 788, 532, 892, 212 with Factoring?

Given Input numbers are 788, 532, 892, 212

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212


GCD of numbers is the greatest common divisor

So, the GCD (788, 532, 892, 212) = 4.

Find GCD of 788, 532, 892, 212 using Prime Factorization

Given numbers are 788, 532, 892, 212

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

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

Prime factors of 892 are 2 x 2 x 223

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 22

Therefore, GCD of 788, 532, 892, 212 is 4.

Steps to Calculate GCD of 788, 532, 892, 212 using LCM Formula

Given numbers are 788, 532, 892, 212

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

Apply this formula for all numbers.

Step1:

LCM(788, 532) = 104804

GCD(788, 532) = ( 788 x 532 ) / 104804

= 788 / 532

= 788


Step2:

LCM(4, 892) = 892

GCD(4, 892) = ( 4 x 892 ) / 892

= 4 / 892

= 4


Step3:

LCM(4, 212) = 212

GCD(4, 212) = ( 4 x 212 ) / 212

= 4 / 212

= 4


So, Greatest Common Divisor of 788, 532, 892, 212 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 788, 532, 892, 212

Given numbers are 788, 532, 892, 212
The greatest common divisor of numbers 788, 532, 892, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 532, 892, 212 is 4.

FAQs on GCD of 788, 532, 892, 212 Calculator

1. What is the GCD of 788, 532, 892, 212?

GCD of given numbers 788, 532, 892, 212 is 4


2. How to calculate the greatest common divisor of 788, 532, 892, 212?

We can find the highest common divisor of 788, 532, 892, 212 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 788, 532, 892, 212 i.e 4.


3. How can I use the GCD of 788, 532, 892, 212Calculator?

Out the numbers 788, 532, 892, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.