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GCD of 552, 688, 292, 788 Calculator

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


Online GCD Calculator is useful to find the GCD of 552, 688, 292, 788 quickly. Get the easiest ways to solve the greatest common divisor of 552, 688, 292, 788 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 552, 688, 292, 788 with Factoring?

Given Input numbers are 552, 688, 292, 788

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 788 :

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

1, 2, 4, 197, 394, 788


GCD of numbers is the greatest common divisor

So, the GCD (552, 688, 292, 788) = 4.

Find GCD of 552, 688, 292, 788 using Prime Factorization

Given numbers are 552, 688, 292, 788

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 292 are 2 x 2 x 73

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 22

Therefore, GCD of 552, 688, 292, 788 is 4.

Steps to Calculate GCD of 552, 688, 292, 788 using LCM Formula

Given numbers are 552, 688, 292, 788

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

Apply this formula for all numbers.

Step1:

LCM(552, 688) = 47472

GCD(552, 688) = ( 552 x 688 ) / 47472

= 552 / 688

= 552


Step2:

LCM(8, 292) = 584

GCD(8, 292) = ( 8 x 292 ) / 584

= 8 / 292

= 8


Step3:

LCM(4, 788) = 788

GCD(4, 788) = ( 4 x 788 ) / 788

= 4 / 788

= 4


So, Greatest Common Divisor of 552, 688, 292, 788 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 552, 688, 292, 788

Given numbers are 552, 688, 292, 788
The greatest common divisor of numbers 552, 688, 292, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 688, 292, 788 is 4.

FAQs on GCD of 552, 688, 292, 788 Calculator

1. What is the GCD of 552, 688, 292, 788?

GCD of given numbers 552, 688, 292, 788 is 4


2. How to calculate the greatest common divisor of 552, 688, 292, 788?

We can find the highest common divisor of 552, 688, 292, 788 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 552, 688, 292, 788 i.e 4.


3. How can I use the GCD of 552, 688, 292, 788Calculator?

Out the numbers 552, 688, 292, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.