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GCD of 237, 900, 472, 575 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 237, 900, 472, 575 quickly. Get the easiest ways to solve the greatest common divisor of 237, 900, 472, 575 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 237, 900, 472, 575 with Factoring?

Given Input numbers are 237, 900, 472, 575

In the factoring method, we have to find the divisors of all numbers

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 575 :

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

1, 5, 23, 25, 115, 575


GCD of numbers is the greatest common divisor

So, the GCD (237, 900, 472, 575) = 1.

Find GCD of 237, 900, 472, 575 using Prime Factorization

Given numbers are 237, 900, 472, 575

The list of prime factors of all numbers are

Prime factors of 237 are 3 x 79

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 575 are 5 x 5 x 23

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

Steps to Calculate GCD of 237, 900, 472, 575 using LCM Formula

Given numbers are 237, 900, 472, 575

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

Apply this formula for all numbers.

Step1:

LCM(237, 900) = 71100

GCD(237, 900) = ( 237 x 900 ) / 71100

= 237 / 900

= 237


Step2:

LCM(3, 472) = 1416

GCD(3, 472) = ( 3 x 472 ) / 1416

= 3 / 472

= 3


Step3:

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

= 1 / 575

= 1


So, Greatest Common Divisor of 237, 900, 472, 575 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 237, 900, 472, 575

Given numbers are 237, 900, 472, 575
The greatest common divisor of numbers 237, 900, 472, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 900, 472, 575 is 1.

FAQs on GCD of 237, 900, 472, 575 Calculator

1. What is the GCD of 237, 900, 472, 575?

GCD of given numbers 237, 900, 472, 575 is 1


2. How to calculate the greatest common divisor of 237, 900, 472, 575?

We can find the highest common divisor of 237, 900, 472, 575 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 237, 900, 472, 575 i.e 1.


3. How can I use the GCD of 237, 900, 472, 575Calculator?

Out the numbers 237, 900, 472, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.