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GCD of 150, 466, 575, 920 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, 466, 575, 920 quickly. Get the easiest ways to solve the greatest common divisor of 150, 466, 575, 920 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 466, 575, 920 with Factoring?

Given Input numbers are 150, 466, 575, 920

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 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920


GCD of numbers is the greatest common divisor

So, the GCD (150, 466, 575, 920) = 1.

Find GCD of 150, 466, 575, 920 using Prime Factorization

Given numbers are 150, 466, 575, 920

The list of prime factors of all numbers are

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

Prime factors of 466 are 2 x 233

Prime factors of 575 are 5 x 5 x 23

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Steps to Calculate GCD of 150, 466, 575, 920 using LCM Formula

Given numbers are 150, 466, 575, 920

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

Apply this formula for all numbers.

Step1:

LCM(150, 466) = 34950

GCD(150, 466) = ( 150 x 466 ) / 34950

= 150 / 466

= 150


Step2:

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

= 2 / 575

= 2


Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1


So, Greatest Common Divisor of 150, 466, 575, 920 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 466, 575, 920

Given numbers are 150, 466, 575, 920
The greatest common divisor of numbers 150, 466, 575, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 466, 575, 920 is 1.

FAQs on GCD of 150, 466, 575, 920 Calculator

1. What is the GCD of 150, 466, 575, 920?

GCD of given numbers 150, 466, 575, 920 is 1


2. How to calculate the greatest common divisor of 150, 466, 575, 920?

We can find the highest common divisor of 150, 466, 575, 920 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, 466, 575, 920 i.e 1.


3. How can I use the GCD of 150, 466, 575, 920Calculator?

Out the numbers 150, 466, 575, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.