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GCD of 316, 133, 116, 114 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, 133, 116, 114 quickly. Get the easiest ways to solve the greatest common divisor of 316, 133, 116, 114 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 316, 133, 116, 114 with Factoring?

Given Input numbers are 316, 133, 116, 114

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 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114


GCD of numbers is the greatest common divisor

So, the GCD (316, 133, 116, 114) = 1.

Find GCD of 316, 133, 116, 114 using Prime Factorization

Given numbers are 316, 133, 116, 114

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 133 are 7 x 19

Prime factors of 116 are 2 x 2 x 29

Prime factors of 114 are 2 x 3 x 19

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

Steps to Calculate GCD of 316, 133, 116, 114 using LCM Formula

Given numbers are 316, 133, 116, 114

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

Apply this formula for all numbers.

Step1:

LCM(316, 133) = 42028

GCD(316, 133) = ( 316 x 133 ) / 42028

= 316 / 133

= 316


Step2:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1


Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1


So, Greatest Common Divisor of 316, 133, 116, 114 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 316, 133, 116, 114

Given numbers are 316, 133, 116, 114
The greatest common divisor of numbers 316, 133, 116, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 133, 116, 114 is 1.

FAQs on GCD of 316, 133, 116, 114 Calculator

1. What is the GCD of 316, 133, 116, 114?

GCD of given numbers 316, 133, 116, 114 is 1


2. How to calculate the greatest common divisor of 316, 133, 116, 114?

We can find the highest common divisor of 316, 133, 116, 114 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, 133, 116, 114 i.e 1.


3. How can I use the GCD of 316, 133, 116, 114Calculator?

Out the numbers 316, 133, 116, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.