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GCD of 900, 958, 427, 963 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, 958, 427, 963 quickly. Get the easiest ways to solve the greatest common divisor of 900, 958, 427, 963 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 958, 427, 963 with Factoring?

Given Input numbers are 900, 958, 427, 963

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 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963


GCD of numbers is the greatest common divisor

So, the GCD (900, 958, 427, 963) = 1.

Find GCD of 900, 958, 427, 963 using Prime Factorization

Given numbers are 900, 958, 427, 963

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 958 are 2 x 479

Prime factors of 427 are 7 x 61

Prime factors of 963 are 3 x 3 x 107

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

Steps to Calculate GCD of 900, 958, 427, 963 using LCM Formula

Given numbers are 900, 958, 427, 963

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

Apply this formula for all numbers.

Step1:

LCM(900, 958) = 431100

GCD(900, 958) = ( 900 x 958 ) / 431100

= 900 / 958

= 900


Step2:

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

= 2 / 427

= 2


Step3:

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

= 1 / 963

= 1


So, Greatest Common Divisor of 900, 958, 427, 963 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 958, 427, 963

Given numbers are 900, 958, 427, 963
The greatest common divisor of numbers 900, 958, 427, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 958, 427, 963 is 1.

FAQs on GCD of 900, 958, 427, 963 Calculator

1. What is the GCD of 900, 958, 427, 963?

GCD of given numbers 900, 958, 427, 963 is 1


2. How to calculate the greatest common divisor of 900, 958, 427, 963?

We can find the highest common divisor of 900, 958, 427, 963 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, 958, 427, 963 i.e 1.


3. How can I use the GCD of 900, 958, 427, 963Calculator?

Out the numbers 900, 958, 427, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.