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GCD of 601, 689, 633, 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 601, 689, 633, 123 quickly. Get the easiest ways to solve the greatest common divisor of 601, 689, 633, 123 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 601, 689, 633, 123 with Factoring?

Given Input numbers are 601, 689, 633, 123

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

Divisors of 601 :

The positive integer divisors of 601 that completely divides 601 are.

1, 601

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

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 (601, 689, 633, 123) = 1.

Find GCD of 601, 689, 633, 123 using Prime Factorization

Given numbers are 601, 689, 633, 123

The list of prime factors of all numbers are

Prime factors of 601 are 601

Prime factors of 689 are 13 x 53

Prime factors of 633 are 3 x 211

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 601, 689, 633, 123 using LCM Formula

Given numbers are 601, 689, 633, 123

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

Apply this formula for all numbers.

Step1:

LCM(601, 689) = 414089

GCD(601, 689) = ( 601 x 689 ) / 414089

= 601 / 689

= 601


Step2:

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

= 1 / 633

= 1


Step3:

LCM(1, 123) = 123

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

= 1 / 123

= 1


So, Greatest Common Divisor of 601, 689, 633, 123 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 601, 689, 633, 123

Given numbers are 601, 689, 633, 123
The greatest common divisor of numbers 601, 689, 633, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 601, 689, 633, 123 is 1.

FAQs on GCD of 601, 689, 633, 123 Calculator

1. What is the GCD of 601, 689, 633, 123?

GCD of given numbers 601, 689, 633, 123 is 1


2. How to calculate the greatest common divisor of 601, 689, 633, 123?

We can find the highest common divisor of 601, 689, 633, 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 601, 689, 633, 123 i.e 1.


3. How can I use the GCD of 601, 689, 633, 123Calculator?

Out the numbers 601, 689, 633, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.