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GCD of 554, 600, 504, 131 Calculator

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


Online GCD Calculator is useful to find the GCD of 554, 600, 504, 131 quickly. Get the easiest ways to solve the greatest common divisor of 554, 600, 504, 131 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 554, 600, 504, 131 with Factoring?

Given Input numbers are 554, 600, 504, 131

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

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131


GCD of numbers is the greatest common divisor

So, the GCD (554, 600, 504, 131) = 1.

Find GCD of 554, 600, 504, 131 using Prime Factorization

Given numbers are 554, 600, 504, 131

The list of prime factors of all numbers are

Prime factors of 554 are 2 x 277

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 131 are 131

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 554, 600, 504, 131 using LCM Formula

Given numbers are 554, 600, 504, 131

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

Apply this formula for all numbers.

Step1:

LCM(554, 600) = 166200

GCD(554, 600) = ( 554 x 600 ) / 166200

= 554 / 600

= 554


Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2


Step3:

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

= 2 / 131

= 2


So, Greatest Common Divisor of 554, 600, 504, 131 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 554, 600, 504, 131

Given numbers are 554, 600, 504, 131
The greatest common divisor of numbers 554, 600, 504, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 554, 600, 504, 131 is 1.

FAQs on GCD of 554, 600, 504, 131 Calculator

1. What is the GCD of 554, 600, 504, 131?

GCD of given numbers 554, 600, 504, 131 is 1


2. How to calculate the greatest common divisor of 554, 600, 504, 131?

We can find the highest common divisor of 554, 600, 504, 131 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 554, 600, 504, 131 i.e 1.


3. How can I use the GCD of 554, 600, 504, 131Calculator?

Out the numbers 554, 600, 504, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.