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GCD of 14, 13, 91, 65 Calculator

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


Online GCD Calculator is useful to find the GCD of 14, 13, 91, 65 quickly. Get the easiest ways to solve the greatest common divisor of 14, 13, 91, 65 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 14, 13, 91, 65 with Factoring?

Given Input numbers are 14, 13, 91, 65

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

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

Divisors of 91 :

The positive integer divisors of 91 that completely divides 91 are.

1, 7, 13, 91

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65


GCD of numbers is the greatest common divisor

So, the GCD (14, 13, 91, 65) = 1.

Find GCD of 14, 13, 91, 65 using Prime Factorization

Given numbers are 14, 13, 91, 65

The list of prime factors of all numbers are

Prime factors of 14 are 2 x 7

Prime factors of 13 are 13

Prime factors of 91 are 7 x 13

Prime factors of 65 are 5 x 13

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

Steps to Calculate GCD of 14, 13, 91, 65 using LCM Formula

Given numbers are 14, 13, 91, 65

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

Apply this formula for all numbers.

Step1:

LCM(14, 13) = 182

GCD(14, 13) = ( 14 x 13 ) / 182

= 14 / 13

= 14


Step2:

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

= 1 / 91

= 1


Step3:

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

= 1 / 65

= 1


So, Greatest Common Divisor of 14, 13, 91, 65 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 14, 13, 91, 65

Given numbers are 14, 13, 91, 65
The greatest common divisor of numbers 14, 13, 91, 65 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 14, 13, 91, 65 is 1.

FAQs on GCD of 14, 13, 91, 65 Calculator

1. What is the GCD of 14, 13, 91, 65?

GCD of given numbers 14, 13, 91, 65 is 1


2. How to calculate the greatest common divisor of 14, 13, 91, 65?

We can find the highest common divisor of 14, 13, 91, 65 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 14, 13, 91, 65 i.e 1.


3. How can I use the GCD of 14, 13, 91, 65Calculator?

Out the numbers 14, 13, 91, 65 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.