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GCD of 120, 629, 280, 123 Calculator

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


Online GCD Calculator is useful to find the GCD of 120, 629, 280, 123 quickly. Get the easiest ways to solve the greatest common divisor of 120, 629, 280, 123 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 629, 280, 123 with Factoring?

Given Input numbers are 120, 629, 280, 123

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 123 :

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

1, 3, 41, 123


GCD of numbers is the greatest common divisor

So, the GCD (120, 629, 280, 123) = 1.

Find GCD of 120, 629, 280, 123 using Prime Factorization

Given numbers are 120, 629, 280, 123

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 629 are 17 x 37

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 123 are 3 x 41

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

Steps to Calculate GCD of 120, 629, 280, 123 using LCM Formula

Given numbers are 120, 629, 280, 123

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

Apply this formula for all numbers.

Step1:

LCM(120, 629) = 75480

GCD(120, 629) = ( 120 x 629 ) / 75480

= 120 / 629

= 120


Step2:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1


Step3:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1


So, Greatest Common Divisor of 120, 629, 280, 123 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 629, 280, 123

Given numbers are 120, 629, 280, 123
The greatest common divisor of numbers 120, 629, 280, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 629, 280, 123 is 1.

FAQs on GCD of 120, 629, 280, 123 Calculator

1. What is the GCD of 120, 629, 280, 123?

GCD of given numbers 120, 629, 280, 123 is 1


2. How to calculate the greatest common divisor of 120, 629, 280, 123?

We can find the highest common divisor of 120, 629, 280, 123 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 120, 629, 280, 123 i.e 1.


3. How can I use the GCD of 120, 629, 280, 123Calculator?

Out the numbers 120, 629, 280, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.