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GCD of 689, 427, 658, 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 689, 427, 658, 123 quickly. Get the easiest ways to solve the greatest common divisor of 689, 427, 658, 123 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 689, 427, 658, 123 with Factoring?

Given Input numbers are 689, 427, 658, 123

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 427 :

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

1, 7, 61, 427

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

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 (689, 427, 658, 123) = 1.

Find GCD of 689, 427, 658, 123 using Prime Factorization

Given numbers are 689, 427, 658, 123

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 427 are 7 x 61

Prime factors of 658 are 2 x 7 x 47

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 689, 427, 658, 123 using LCM Formula

Given numbers are 689, 427, 658, 123

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

Apply this formula for all numbers.

Step1:

LCM(689, 427) = 294203

GCD(689, 427) = ( 689 x 427 ) / 294203

= 689 / 427

= 689


Step2:

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

= 1 / 658

= 1


Step3:

LCM(1, 123) = 123

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

= 1 / 123

= 1


So, Greatest Common Divisor of 689, 427, 658, 123 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 689, 427, 658, 123

Given numbers are 689, 427, 658, 123
The greatest common divisor of numbers 689, 427, 658, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 427, 658, 123 is 1.

FAQs on GCD of 689, 427, 658, 123 Calculator

1. What is the GCD of 689, 427, 658, 123?

GCD of given numbers 689, 427, 658, 123 is 1


2. How to calculate the greatest common divisor of 689, 427, 658, 123?

We can find the highest common divisor of 689, 427, 658, 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 689, 427, 658, 123 i.e 1.


3. How can I use the GCD of 689, 427, 658, 123Calculator?

Out the numbers 689, 427, 658, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.