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GCD of 552, 858, 498, 820 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, 858, 498, 820 quickly. Get the easiest ways to solve the greatest common divisor of 552, 858, 498, 820 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 552, 858, 498, 820 with Factoring?

Given Input numbers are 552, 858, 498, 820

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 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (552, 858, 498, 820) = 2.

Find GCD of 552, 858, 498, 820 using Prime Factorization

Given numbers are 552, 858, 498, 820

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 858 are 2 x 3 x 11 x 13

Prime factors of 498 are 2 x 3 x 83

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 21

Therefore, GCD of 552, 858, 498, 820 is 2.

Steps to Calculate GCD of 552, 858, 498, 820 using LCM Formula

Given numbers are 552, 858, 498, 820

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

Apply this formula for all numbers.

Step1:

LCM(552, 858) = 78936

GCD(552, 858) = ( 552 x 858 ) / 78936

= 552 / 858

= 552


Step2:

LCM(6, 498) = 498

GCD(6, 498) = ( 6 x 498 ) / 498

= 6 / 498

= 6


Step3:

LCM(6, 820) = 2460

GCD(6, 820) = ( 6 x 820 ) / 2460

= 6 / 820

= 6


So, Greatest Common Divisor of 552, 858, 498, 820 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 552, 858, 498, 820

Given numbers are 552, 858, 498, 820
The greatest common divisor of numbers 552, 858, 498, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 858, 498, 820 is 2.

FAQs on GCD of 552, 858, 498, 820 Calculator

1. What is the GCD of 552, 858, 498, 820?

GCD of given numbers 552, 858, 498, 820 is 2


2. How to calculate the greatest common divisor of 552, 858, 498, 820?

We can find the highest common divisor of 552, 858, 498, 820 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, 858, 498, 820 i.e 2.


3. How can I use the GCD of 552, 858, 498, 820Calculator?

Out the numbers 552, 858, 498, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.