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GCD of 66, 51, 13, 37 Calculator

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


Online GCD Calculator is useful to find the GCD of 66, 51, 13, 37 quickly. Get the easiest ways to solve the greatest common divisor of 66, 51, 13, 37 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 66, 51, 13, 37 with Factoring?

Given Input numbers are 66, 51, 13, 37

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

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

Divisors of 13 :

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

1, 13

Divisors of 37 :

The positive integer divisors of 37 that completely divides 37 are.

1, 37


GCD of numbers is the greatest common divisor

So, the GCD (66, 51, 13, 37) = 1.

Find GCD of 66, 51, 13, 37 using Prime Factorization

Given numbers are 66, 51, 13, 37

The list of prime factors of all numbers are

Prime factors of 66 are 2 x 3 x 11

Prime factors of 51 are 3 x 17

Prime factors of 13 are 13

Prime factors of 37 are 37

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

Steps to Calculate GCD of 66, 51, 13, 37 using LCM Formula

Given numbers are 66, 51, 13, 37

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

Apply this formula for all numbers.

Step1:

LCM(66, 51) = 1122

GCD(66, 51) = ( 66 x 51 ) / 1122

= 66 / 51

= 66


Step2:

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

= 3 / 13

= 3


Step3:

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

= 1 / 37

= 1


So, Greatest Common Divisor of 66, 51, 13, 37 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 66, 51, 13, 37

Given numbers are 66, 51, 13, 37
The greatest common divisor of numbers 66, 51, 13, 37 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 66, 51, 13, 37 is 1.

FAQs on GCD of 66, 51, 13, 37 Calculator

1. What is the GCD of 66, 51, 13, 37?

GCD of given numbers 66, 51, 13, 37 is 1


2. How to calculate the greatest common divisor of 66, 51, 13, 37?

We can find the highest common divisor of 66, 51, 13, 37 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 66, 51, 13, 37 i.e 1.


3. How can I use the GCD of 66, 51, 13, 37Calculator?

Out the numbers 66, 51, 13, 37 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.