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GCD of 150, 591, 504, 149 Calculator

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


Online GCD Calculator is useful to find the GCD of 150, 591, 504, 149 quickly. Get the easiest ways to solve the greatest common divisor of 150, 591, 504, 149 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 591, 504, 149 with Factoring?

Given Input numbers are 150, 591, 504, 149

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149


GCD of numbers is the greatest common divisor

So, the GCD (150, 591, 504, 149) = 1.

Find GCD of 150, 591, 504, 149 using Prime Factorization

Given numbers are 150, 591, 504, 149

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 591 are 3 x 197

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

Prime factors of 149 are 149

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

Steps to Calculate GCD of 150, 591, 504, 149 using LCM Formula

Given numbers are 150, 591, 504, 149

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

Apply this formula for all numbers.

Step1:

LCM(150, 591) = 29550

GCD(150, 591) = ( 150 x 591 ) / 29550

= 150 / 591

= 150


Step2:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3


Step3:

LCM(3, 149) = 447

GCD(3, 149) = ( 3 x 149 ) / 447

= 3 / 149

= 3


So, Greatest Common Divisor of 150, 591, 504, 149 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 591, 504, 149

Given numbers are 150, 591, 504, 149
The greatest common divisor of numbers 150, 591, 504, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 591, 504, 149 is 1.

FAQs on GCD of 150, 591, 504, 149 Calculator

1. What is the GCD of 150, 591, 504, 149?

GCD of given numbers 150, 591, 504, 149 is 1


2. How to calculate the greatest common divisor of 150, 591, 504, 149?

We can find the highest common divisor of 150, 591, 504, 149 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 150, 591, 504, 149 i.e 1.


3. How can I use the GCD of 150, 591, 504, 149Calculator?

Out the numbers 150, 591, 504, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.