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GCD of 552, 220, 996, 612 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, 220, 996, 612 quickly. Get the easiest ways to solve the greatest common divisor of 552, 220, 996, 612 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 552, 220, 996, 612 with Factoring?

Given Input numbers are 552, 220, 996, 612

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612


GCD of numbers is the greatest common divisor

So, the GCD (552, 220, 996, 612) = 4.

Find GCD of 552, 220, 996, 612 using Prime Factorization

Given numbers are 552, 220, 996, 612

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 220 are 2 x 2 x 5 x 11

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

The highest common occurrence is 22

Therefore, GCD of 552, 220, 996, 612 is 4.

Steps to Calculate GCD of 552, 220, 996, 612 using LCM Formula

Given numbers are 552, 220, 996, 612

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

Apply this formula for all numbers.

Step1:

LCM(552, 220) = 30360

GCD(552, 220) = ( 552 x 220 ) / 30360

= 552 / 220

= 552


Step2:

LCM(4, 996) = 996

GCD(4, 996) = ( 4 x 996 ) / 996

= 4 / 996

= 4


Step3:

LCM(4, 612) = 612

GCD(4, 612) = ( 4 x 612 ) / 612

= 4 / 612

= 4


So, Greatest Common Divisor of 552, 220, 996, 612 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 552, 220, 996, 612

Given numbers are 552, 220, 996, 612
The greatest common divisor of numbers 552, 220, 996, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 220, 996, 612 is 4.

FAQs on GCD of 552, 220, 996, 612 Calculator

1. What is the GCD of 552, 220, 996, 612?

GCD of given numbers 552, 220, 996, 612 is 4


2. How to calculate the greatest common divisor of 552, 220, 996, 612?

We can find the highest common divisor of 552, 220, 996, 612 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, 220, 996, 612 i.e 4.


3. How can I use the GCD of 552, 220, 996, 612Calculator?

Out the numbers 552, 220, 996, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.