LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 123, 632, 944, 900 Calculator

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


Online GCD Calculator is useful to find the GCD of 123, 632, 944, 900 quickly. Get the easiest ways to solve the greatest common divisor of 123, 632, 944, 900 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 123, 632, 944, 900 with Factoring?

Given Input numbers are 123, 632, 944, 900

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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


GCD of numbers is the greatest common divisor

So, the GCD (123, 632, 944, 900) = 1.

Find GCD of 123, 632, 944, 900 using Prime Factorization

Given numbers are 123, 632, 944, 900

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

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

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

Steps to Calculate GCD of 123, 632, 944, 900 using LCM Formula

Given numbers are 123, 632, 944, 900

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

Apply this formula for all numbers.

Step1:

LCM(123, 632) = 77736

GCD(123, 632) = ( 123 x 632 ) / 77736

= 123 / 632

= 123


Step2:

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

= 1 / 944

= 1


Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1


So, Greatest Common Divisor of 123, 632, 944, 900 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 123, 632, 944, 900

Given numbers are 123, 632, 944, 900
The greatest common divisor of numbers 123, 632, 944, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 632, 944, 900 is 1.

FAQs on GCD of 123, 632, 944, 900 Calculator

1. What is the GCD of 123, 632, 944, 900?

GCD of given numbers 123, 632, 944, 900 is 1


2. How to calculate the greatest common divisor of 123, 632, 944, 900?

We can find the highest common divisor of 123, 632, 944, 900 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 123, 632, 944, 900 i.e 1.


3. How can I use the GCD of 123, 632, 944, 900Calculator?

Out the numbers 123, 632, 944, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.