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GCD of 150, 289, 112, 942 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, 289, 112, 942 quickly. Get the easiest ways to solve the greatest common divisor of 150, 289, 112, 942 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 289, 112, 942 with Factoring?

Given Input numbers are 150, 289, 112, 942

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

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 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942


GCD of numbers is the greatest common divisor

So, the GCD (150, 289, 112, 942) = 1.

Find GCD of 150, 289, 112, 942 using Prime Factorization

Given numbers are 150, 289, 112, 942

The list of prime factors of all numbers are

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

Prime factors of 289 are 17 x 17

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

Prime factors of 942 are 2 x 3 x 157

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

Steps to Calculate GCD of 150, 289, 112, 942 using LCM Formula

Given numbers are 150, 289, 112, 942

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

Apply this formula for all numbers.

Step1:

LCM(150, 289) = 43350

GCD(150, 289) = ( 150 x 289 ) / 43350

= 150 / 289

= 150


Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1


Step3:

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

= 1 / 942

= 1


So, Greatest Common Divisor of 150, 289, 112, 942 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 289, 112, 942

Given numbers are 150, 289, 112, 942
The greatest common divisor of numbers 150, 289, 112, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 289, 112, 942 is 1.

FAQs on GCD of 150, 289, 112, 942 Calculator

1. What is the GCD of 150, 289, 112, 942?

GCD of given numbers 150, 289, 112, 942 is 1


2. How to calculate the greatest common divisor of 150, 289, 112, 942?

We can find the highest common divisor of 150, 289, 112, 942 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, 289, 112, 942 i.e 1.


3. How can I use the GCD of 150, 289, 112, 942Calculator?

Out the numbers 150, 289, 112, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.