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GCD of 123, 624, 130, 430 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, 624, 130, 430 quickly. Get the easiest ways to solve the greatest common divisor of 123, 624, 130, 430 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 123, 624, 130, 430 with Factoring?

Given Input numbers are 123, 624, 130, 430

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430


GCD of numbers is the greatest common divisor

So, the GCD (123, 624, 130, 430) = 1.

Find GCD of 123, 624, 130, 430 using Prime Factorization

Given numbers are 123, 624, 130, 430

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 130 are 2 x 5 x 13

Prime factors of 430 are 2 x 5 x 43

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

Steps to Calculate GCD of 123, 624, 130, 430 using LCM Formula

Given numbers are 123, 624, 130, 430

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

Apply this formula for all numbers.

Step1:

LCM(123, 624) = 25584

GCD(123, 624) = ( 123 x 624 ) / 25584

= 123 / 624

= 123


Step2:

LCM(3, 130) = 390

GCD(3, 130) = ( 3 x 130 ) / 390

= 3 / 130

= 3


Step3:

LCM(1, 430) = 430

GCD(1, 430) = ( 1 x 430 ) / 430

= 1 / 430

= 1


So, Greatest Common Divisor of 123, 624, 130, 430 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 123, 624, 130, 430

Given numbers are 123, 624, 130, 430
The greatest common divisor of numbers 123, 624, 130, 430 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 624, 130, 430 is 1.

FAQs on GCD of 123, 624, 130, 430 Calculator

1. What is the GCD of 123, 624, 130, 430?

GCD of given numbers 123, 624, 130, 430 is 1


2. How to calculate the greatest common divisor of 123, 624, 130, 430?

We can find the highest common divisor of 123, 624, 130, 430 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, 624, 130, 430 i.e 1.


3. How can I use the GCD of 123, 624, 130, 430Calculator?

Out the numbers 123, 624, 130, 430 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.