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GCD of 149, 917, 367, 144 Calculator

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


Online GCD Calculator is useful to find the GCD of 149, 917, 367, 144 quickly. Get the easiest ways to solve the greatest common divisor of 149, 917, 367, 144 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 149, 917, 367, 144 with Factoring?

Given Input numbers are 149, 917, 367, 144

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

Divisors of 149 :

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

1, 149

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144


GCD of numbers is the greatest common divisor

So, the GCD (149, 917, 367, 144) = 1.

Find GCD of 149, 917, 367, 144 using Prime Factorization

Given numbers are 149, 917, 367, 144

The list of prime factors of all numbers are

Prime factors of 149 are 149

Prime factors of 917 are 7 x 131

Prime factors of 367 are 367

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Steps to Calculate GCD of 149, 917, 367, 144 using LCM Formula

Given numbers are 149, 917, 367, 144

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

Apply this formula for all numbers.

Step1:

LCM(149, 917) = 136633

GCD(149, 917) = ( 149 x 917 ) / 136633

= 149 / 917

= 149


Step2:

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

= 1 / 367

= 1


Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1


So, Greatest Common Divisor of 149, 917, 367, 144 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 149, 917, 367, 144

Given numbers are 149, 917, 367, 144
The greatest common divisor of numbers 149, 917, 367, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 917, 367, 144 is 1.

FAQs on GCD of 149, 917, 367, 144 Calculator

1. What is the GCD of 149, 917, 367, 144?

GCD of given numbers 149, 917, 367, 144 is 1


2. How to calculate the greatest common divisor of 149, 917, 367, 144?

We can find the highest common divisor of 149, 917, 367, 144 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 149, 917, 367, 144 i.e 1.


3. How can I use the GCD of 149, 917, 367, 144Calculator?

Out the numbers 149, 917, 367, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.