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GCD of 552, 684, 471, 906 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, 684, 471, 906 quickly. Get the easiest ways to solve the greatest common divisor of 552, 684, 471, 906 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 552, 684, 471, 906 with Factoring?

Given Input numbers are 552, 684, 471, 906

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906


GCD of numbers is the greatest common divisor

So, the GCD (552, 684, 471, 906) = 3.

Find GCD of 552, 684, 471, 906 using Prime Factorization

Given numbers are 552, 684, 471, 906

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 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 471 are 3 x 157

Prime factors of 906 are 2 x 3 x 151

The highest common occurrence is 31

Therefore, GCD of 552, 684, 471, 906 is 3.

Steps to Calculate GCD of 552, 684, 471, 906 using LCM Formula

Given numbers are 552, 684, 471, 906

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

Apply this formula for all numbers.

Step1:

LCM(552, 684) = 31464

GCD(552, 684) = ( 552 x 684 ) / 31464

= 552 / 684

= 552


Step2:

LCM(12, 471) = 1884

GCD(12, 471) = ( 12 x 471 ) / 1884

= 12 / 471

= 12


Step3:

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

= 3 / 906

= 3


So, Greatest Common Divisor of 552, 684, 471, 906 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 552, 684, 471, 906

Given numbers are 552, 684, 471, 906
The greatest common divisor of numbers 552, 684, 471, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 684, 471, 906 is 3.

FAQs on GCD of 552, 684, 471, 906 Calculator

1. What is the GCD of 552, 684, 471, 906?

GCD of given numbers 552, 684, 471, 906 is 3


2. How to calculate the greatest common divisor of 552, 684, 471, 906?

We can find the highest common divisor of 552, 684, 471, 906 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, 684, 471, 906 i.e 3.


3. How can I use the GCD of 552, 684, 471, 906Calculator?

Out the numbers 552, 684, 471, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.