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GCD of 150, 374, 561, 226 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, 374, 561, 226 quickly. Get the easiest ways to solve the greatest common divisor of 150, 374, 561, 226 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 374, 561, 226 with Factoring?

Given Input numbers are 150, 374, 561, 226

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226


GCD of numbers is the greatest common divisor

So, the GCD (150, 374, 561, 226) = 1.

Find GCD of 150, 374, 561, 226 using Prime Factorization

Given numbers are 150, 374, 561, 226

The list of prime factors of all numbers are

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

Prime factors of 374 are 2 x 11 x 17

Prime factors of 561 are 3 x 11 x 17

Prime factors of 226 are 2 x 113

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

Steps to Calculate GCD of 150, 374, 561, 226 using LCM Formula

Given numbers are 150, 374, 561, 226

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

Apply this formula for all numbers.

Step1:

LCM(150, 374) = 28050

GCD(150, 374) = ( 150 x 374 ) / 28050

= 150 / 374

= 150


Step2:

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

= 2 / 561

= 2


Step3:

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

= 1 / 226

= 1


So, Greatest Common Divisor of 150, 374, 561, 226 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 374, 561, 226

Given numbers are 150, 374, 561, 226
The greatest common divisor of numbers 150, 374, 561, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 374, 561, 226 is 1.

FAQs on GCD of 150, 374, 561, 226 Calculator

1. What is the GCD of 150, 374, 561, 226?

GCD of given numbers 150, 374, 561, 226 is 1


2. How to calculate the greatest common divisor of 150, 374, 561, 226?

We can find the highest common divisor of 150, 374, 561, 226 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, 374, 561, 226 i.e 1.


3. How can I use the GCD of 150, 374, 561, 226Calculator?

Out the numbers 150, 374, 561, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.