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GCD of 316, 698, 791, 189 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 316, 698, 791, 189 quickly. Get the easiest ways to solve the greatest common divisor of 316, 698, 791, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 316, 698, 791, 189 with Factoring?

Given Input numbers are 316, 698, 791, 189

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189


GCD of numbers is the greatest common divisor

So, the GCD (316, 698, 791, 189) = 1.

Find GCD of 316, 698, 791, 189 using Prime Factorization

Given numbers are 316, 698, 791, 189

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 698 are 2 x 349

Prime factors of 791 are 7 x 113

Prime factors of 189 are 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 316, 698, 791, 189 using LCM Formula

Given numbers are 316, 698, 791, 189

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

Apply this formula for all numbers.

Step1:

LCM(316, 698) = 110284

GCD(316, 698) = ( 316 x 698 ) / 110284

= 316 / 698

= 316


Step2:

LCM(2, 791) = 1582

GCD(2, 791) = ( 2 x 791 ) / 1582

= 2 / 791

= 2


Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


So, Greatest Common Divisor of 316, 698, 791, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 316, 698, 791, 189

Given numbers are 316, 698, 791, 189
The greatest common divisor of numbers 316, 698, 791, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 698, 791, 189 is 1.

FAQs on GCD of 316, 698, 791, 189 Calculator

1. What is the GCD of 316, 698, 791, 189?

GCD of given numbers 316, 698, 791, 189 is 1


2. How to calculate the greatest common divisor of 316, 698, 791, 189?

We can find the highest common divisor of 316, 698, 791, 189 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 316, 698, 791, 189 i.e 1.


3. How can I use the GCD of 316, 698, 791, 189Calculator?

Out the numbers 316, 698, 791, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.