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GCD of 91, 87, 23, 12 Calculator

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


Online GCD Calculator is useful to find the GCD of 91, 87, 23, 12 quickly. Get the easiest ways to solve the greatest common divisor of 91, 87, 23, 12 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 91, 87, 23, 12 with Factoring?

Given Input numbers are 91, 87, 23, 12

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

Divisors of 91 :

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

1, 7, 13, 91

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

Divisors of 23 :

The positive integer divisors of 23 that completely divides 23 are.

1, 23

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12


GCD of numbers is the greatest common divisor

So, the GCD (91, 87, 23, 12) = 1.

Find GCD of 91, 87, 23, 12 using Prime Factorization

Given numbers are 91, 87, 23, 12

The list of prime factors of all numbers are

Prime factors of 91 are 7 x 13

Prime factors of 87 are 3 x 29

Prime factors of 23 are 23

Prime factors of 12 are 2 x 2 x 3

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

Steps to Calculate GCD of 91, 87, 23, 12 using LCM Formula

Given numbers are 91, 87, 23, 12

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

Apply this formula for all numbers.

Step1:

LCM(91, 87) = 7917

GCD(91, 87) = ( 91 x 87 ) / 7917

= 91 / 87

= 91


Step2:

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

= 1 / 23

= 1


Step3:

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

= 1 / 12

= 1


So, Greatest Common Divisor of 91, 87, 23, 12 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 91, 87, 23, 12

Given numbers are 91, 87, 23, 12
The greatest common divisor of numbers 91, 87, 23, 12 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 91, 87, 23, 12 is 1.

FAQs on GCD of 91, 87, 23, 12 Calculator

1. What is the GCD of 91, 87, 23, 12?

GCD of given numbers 91, 87, 23, 12 is 1


2. How to calculate the greatest common divisor of 91, 87, 23, 12?

We can find the highest common divisor of 91, 87, 23, 12 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 91, 87, 23, 12 i.e 1.


3. How can I use the GCD of 91, 87, 23, 12Calculator?

Out the numbers 91, 87, 23, 12 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.