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GCD of 150, 370, 574, 213 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, 370, 574, 213 quickly. Get the easiest ways to solve the greatest common divisor of 150, 370, 574, 213 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 370, 574, 213 with Factoring?

Given Input numbers are 150, 370, 574, 213

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 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213


GCD of numbers is the greatest common divisor

So, the GCD (150, 370, 574, 213) = 1.

Find GCD of 150, 370, 574, 213 using Prime Factorization

Given numbers are 150, 370, 574, 213

The list of prime factors of all numbers are

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

Prime factors of 370 are 2 x 5 x 37

Prime factors of 574 are 2 x 7 x 41

Prime factors of 213 are 3 x 71

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

Steps to Calculate GCD of 150, 370, 574, 213 using LCM Formula

Given numbers are 150, 370, 574, 213

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

Apply this formula for all numbers.

Step1:

LCM(150, 370) = 5550

GCD(150, 370) = ( 150 x 370 ) / 5550

= 150 / 370

= 150


Step2:

LCM(10, 574) = 2870

GCD(10, 574) = ( 10 x 574 ) / 2870

= 10 / 574

= 10


Step3:

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

= 2 / 213

= 2


So, Greatest Common Divisor of 150, 370, 574, 213 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 370, 574, 213

Given numbers are 150, 370, 574, 213
The greatest common divisor of numbers 150, 370, 574, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 370, 574, 213 is 1.

FAQs on GCD of 150, 370, 574, 213 Calculator

1. What is the GCD of 150, 370, 574, 213?

GCD of given numbers 150, 370, 574, 213 is 1


2. How to calculate the greatest common divisor of 150, 370, 574, 213?

We can find the highest common divisor of 150, 370, 574, 213 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, 370, 574, 213 i.e 1.


3. How can I use the GCD of 150, 370, 574, 213Calculator?

Out the numbers 150, 370, 574, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.