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GCD of 552, 644, 496, 698 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, 644, 496, 698 quickly. Get the easiest ways to solve the greatest common divisor of 552, 644, 496, 698 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 552, 644, 496, 698 with Factoring?

Given Input numbers are 552, 644, 496, 698

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698


GCD of numbers is the greatest common divisor

So, the GCD (552, 644, 496, 698) = 2.

Find GCD of 552, 644, 496, 698 using Prime Factorization

Given numbers are 552, 644, 496, 698

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 644 are 2 x 2 x 7 x 23

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 698 are 2 x 349

The highest common occurrence is 21

Therefore, GCD of 552, 644, 496, 698 is 2.

Steps to Calculate GCD of 552, 644, 496, 698 using LCM Formula

Given numbers are 552, 644, 496, 698

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

Apply this formula for all numbers.

Step1:

LCM(552, 644) = 3864

GCD(552, 644) = ( 552 x 644 ) / 3864

= 552 / 644

= 552


Step2:

LCM(92, 496) = 11408

GCD(92, 496) = ( 92 x 496 ) / 11408

= 92 / 496

= 92


Step3:

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

= 4 / 698

= 4


So, Greatest Common Divisor of 552, 644, 496, 698 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 552, 644, 496, 698

Given numbers are 552, 644, 496, 698
The greatest common divisor of numbers 552, 644, 496, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 644, 496, 698 is 2.

FAQs on GCD of 552, 644, 496, 698 Calculator

1. What is the GCD of 552, 644, 496, 698?

GCD of given numbers 552, 644, 496, 698 is 2


2. How to calculate the greatest common divisor of 552, 644, 496, 698?

We can find the highest common divisor of 552, 644, 496, 698 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, 644, 496, 698 i.e 2.


3. How can I use the GCD of 552, 644, 496, 698Calculator?

Out the numbers 552, 644, 496, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.