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GCD of 150, 272, 112, 427 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, 272, 112, 427 quickly. Get the easiest ways to solve the greatest common divisor of 150, 272, 112, 427 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 272, 112, 427 with Factoring?

Given Input numbers are 150, 272, 112, 427

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427


GCD of numbers is the greatest common divisor

So, the GCD (150, 272, 112, 427) = 1.

Find GCD of 150, 272, 112, 427 using Prime Factorization

Given numbers are 150, 272, 112, 427

The list of prime factors of all numbers are

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

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 427 are 7 x 61

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

Steps to Calculate GCD of 150, 272, 112, 427 using LCM Formula

Given numbers are 150, 272, 112, 427

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

Apply this formula for all numbers.

Step1:

LCM(150, 272) = 20400

GCD(150, 272) = ( 150 x 272 ) / 20400

= 150 / 272

= 150


Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2


Step3:

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

= 2 / 427

= 2


So, Greatest Common Divisor of 150, 272, 112, 427 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 272, 112, 427

Given numbers are 150, 272, 112, 427
The greatest common divisor of numbers 150, 272, 112, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 272, 112, 427 is 1.

FAQs on GCD of 150, 272, 112, 427 Calculator

1. What is the GCD of 150, 272, 112, 427?

GCD of given numbers 150, 272, 112, 427 is 1


2. How to calculate the greatest common divisor of 150, 272, 112, 427?

We can find the highest common divisor of 150, 272, 112, 427 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, 272, 112, 427 i.e 1.


3. How can I use the GCD of 150, 272, 112, 427Calculator?

Out the numbers 150, 272, 112, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.