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GCD of 689, 846, 158, 296 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, 846, 158, 296 quickly. Get the easiest ways to solve the greatest common divisor of 689, 846, 158, 296 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 689, 846, 158, 296 with Factoring?

Given Input numbers are 689, 846, 158, 296

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 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296


GCD of numbers is the greatest common divisor

So, the GCD (689, 846, 158, 296) = 1.

Find GCD of 689, 846, 158, 296 using Prime Factorization

Given numbers are 689, 846, 158, 296

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 158 are 2 x 79

Prime factors of 296 are 2 x 2 x 2 x 37

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

Steps to Calculate GCD of 689, 846, 158, 296 using LCM Formula

Given numbers are 689, 846, 158, 296

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

Apply this formula for all numbers.

Step1:

LCM(689, 846) = 582894

GCD(689, 846) = ( 689 x 846 ) / 582894

= 689 / 846

= 689


Step2:

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

= 1 / 158

= 1


Step3:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1


So, Greatest Common Divisor of 689, 846, 158, 296 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 689, 846, 158, 296

Given numbers are 689, 846, 158, 296
The greatest common divisor of numbers 689, 846, 158, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 846, 158, 296 is 1.

FAQs on GCD of 689, 846, 158, 296 Calculator

1. What is the GCD of 689, 846, 158, 296?

GCD of given numbers 689, 846, 158, 296 is 1


2. How to calculate the greatest common divisor of 689, 846, 158, 296?

We can find the highest common divisor of 689, 846, 158, 296 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, 846, 158, 296 i.e 1.


3. How can I use the GCD of 689, 846, 158, 296Calculator?

Out the numbers 689, 846, 158, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.