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GCD of 150, 894, 254, 442 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, 894, 254, 442 quickly. Get the easiest ways to solve the greatest common divisor of 150, 894, 254, 442 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 894, 254, 442 with Factoring?

Given Input numbers are 150, 894, 254, 442

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442


GCD of numbers is the greatest common divisor

So, the GCD (150, 894, 254, 442) = 2.

Find GCD of 150, 894, 254, 442 using Prime Factorization

Given numbers are 150, 894, 254, 442

The list of prime factors of all numbers are

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

Prime factors of 894 are 2 x 3 x 149

Prime factors of 254 are 2 x 127

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 21

Therefore, GCD of 150, 894, 254, 442 is 2.

Steps to Calculate GCD of 150, 894, 254, 442 using LCM Formula

Given numbers are 150, 894, 254, 442

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

Apply this formula for all numbers.

Step1:

LCM(150, 894) = 22350

GCD(150, 894) = ( 150 x 894 ) / 22350

= 150 / 894

= 150


Step2:

LCM(6, 254) = 762

GCD(6, 254) = ( 6 x 254 ) / 762

= 6 / 254

= 6


Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2


So, Greatest Common Divisor of 150, 894, 254, 442 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 894, 254, 442

Given numbers are 150, 894, 254, 442
The greatest common divisor of numbers 150, 894, 254, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 894, 254, 442 is 2.

FAQs on GCD of 150, 894, 254, 442 Calculator

1. What is the GCD of 150, 894, 254, 442?

GCD of given numbers 150, 894, 254, 442 is 2


2. How to calculate the greatest common divisor of 150, 894, 254, 442?

We can find the highest common divisor of 150, 894, 254, 442 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, 894, 254, 442 i.e 2.


3. How can I use the GCD of 150, 894, 254, 442Calculator?

Out the numbers 150, 894, 254, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.