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GCD of 689, 677, 609, 958 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, 677, 609, 958 quickly. Get the easiest ways to solve the greatest common divisor of 689, 677, 609, 958 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 689, 677, 609, 958 with Factoring?

Given Input numbers are 689, 677, 609, 958

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 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958


GCD of numbers is the greatest common divisor

So, the GCD (689, 677, 609, 958) = 1.

Find GCD of 689, 677, 609, 958 using Prime Factorization

Given numbers are 689, 677, 609, 958

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 677 are 677

Prime factors of 609 are 3 x 7 x 29

Prime factors of 958 are 2 x 479

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

Steps to Calculate GCD of 689, 677, 609, 958 using LCM Formula

Given numbers are 689, 677, 609, 958

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

Apply this formula for all numbers.

Step1:

LCM(689, 677) = 466453

GCD(689, 677) = ( 689 x 677 ) / 466453

= 689 / 677

= 689


Step2:

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

= 1 / 609

= 1


Step3:

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

= 1 / 958

= 1


So, Greatest Common Divisor of 689, 677, 609, 958 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 689, 677, 609, 958

Given numbers are 689, 677, 609, 958
The greatest common divisor of numbers 689, 677, 609, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 677, 609, 958 is 1.

FAQs on GCD of 689, 677, 609, 958 Calculator

1. What is the GCD of 689, 677, 609, 958?

GCD of given numbers 689, 677, 609, 958 is 1


2. How to calculate the greatest common divisor of 689, 677, 609, 958?

We can find the highest common divisor of 689, 677, 609, 958 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, 677, 609, 958 i.e 1.


3. How can I use the GCD of 689, 677, 609, 958Calculator?

Out the numbers 689, 677, 609, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.