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GCD of 125, 840, 576, 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 125, 840, 576, 123 quickly. Get the easiest ways to solve the greatest common divisor of 125, 840, 576, 123 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 125, 840, 576, 123 with Factoring?

Given Input numbers are 125, 840, 576, 123

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

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 (125, 840, 576, 123) = 1.

Find GCD of 125, 840, 576, 123 using Prime Factorization

Given numbers are 125, 840, 576, 123

The list of prime factors of all numbers are

Prime factors of 125 are 5 x 5 x 5

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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 125, 840, 576, 123 using LCM Formula

Given numbers are 125, 840, 576, 123

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

Apply this formula for all numbers.

Step1:

LCM(125, 840) = 21000

GCD(125, 840) = ( 125 x 840 ) / 21000

= 125 / 840

= 125


Step2:

LCM(5, 576) = 2880

GCD(5, 576) = ( 5 x 576 ) / 2880

= 5 / 576

= 5


Step3:

LCM(1, 123) = 123

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

= 1 / 123

= 1


So, Greatest Common Divisor of 125, 840, 576, 123 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 125, 840, 576, 123

Given numbers are 125, 840, 576, 123
The greatest common divisor of numbers 125, 840, 576, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 840, 576, 123 is 1.

FAQs on GCD of 125, 840, 576, 123 Calculator

1. What is the GCD of 125, 840, 576, 123?

GCD of given numbers 125, 840, 576, 123 is 1


2. How to calculate the greatest common divisor of 125, 840, 576, 123?

We can find the highest common divisor of 125, 840, 576, 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 125, 840, 576, 123 i.e 1.


3. How can I use the GCD of 125, 840, 576, 123Calculator?

Out the numbers 125, 840, 576, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.