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GCD of 900, 598, 264, 485 Calculator

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


Online GCD Calculator is useful to find the GCD of 900, 598, 264, 485 quickly. Get the easiest ways to solve the greatest common divisor of 900, 598, 264, 485 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 598, 264, 485 with Factoring?

Given Input numbers are 900, 598, 264, 485

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

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 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 485 :

The positive integer divisors of 485 that completely divides 485 are.

1, 5, 97, 485


GCD of numbers is the greatest common divisor

So, the GCD (900, 598, 264, 485) = 1.

Find GCD of 900, 598, 264, 485 using Prime Factorization

Given numbers are 900, 598, 264, 485

The list of prime factors of all numbers are

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

Prime factors of 598 are 2 x 13 x 23

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 485 are 5 x 97

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

Steps to Calculate GCD of 900, 598, 264, 485 using LCM Formula

Given numbers are 900, 598, 264, 485

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

Apply this formula for all numbers.

Step1:

LCM(900, 598) = 269100

GCD(900, 598) = ( 900 x 598 ) / 269100

= 900 / 598

= 900


Step2:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2


Step3:

LCM(2, 485) = 970

GCD(2, 485) = ( 2 x 485 ) / 970

= 2 / 485

= 2


So, Greatest Common Divisor of 900, 598, 264, 485 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 598, 264, 485

Given numbers are 900, 598, 264, 485
The greatest common divisor of numbers 900, 598, 264, 485 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 598, 264, 485 is 1.

FAQs on GCD of 900, 598, 264, 485 Calculator

1. What is the GCD of 900, 598, 264, 485?

GCD of given numbers 900, 598, 264, 485 is 1


2. How to calculate the greatest common divisor of 900, 598, 264, 485?

We can find the highest common divisor of 900, 598, 264, 485 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 900, 598, 264, 485 i.e 1.


3. How can I use the GCD of 900, 598, 264, 485Calculator?

Out the numbers 900, 598, 264, 485 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.