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GCD of 85, 39, 51, 53 Calculator

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


Online GCD Calculator is useful to find the GCD of 85, 39, 51, 53 quickly. Get the easiest ways to solve the greatest common divisor of 85, 39, 51, 53 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 85, 39, 51, 53 with Factoring?

Given Input numbers are 85, 39, 51, 53

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

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

Divisors of 51 :

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

1, 3, 17, 51

Divisors of 53 :

The positive integer divisors of 53 that completely divides 53 are.

1, 53


GCD of numbers is the greatest common divisor

So, the GCD (85, 39, 51, 53) = 1.

Find GCD of 85, 39, 51, 53 using Prime Factorization

Given numbers are 85, 39, 51, 53

The list of prime factors of all numbers are

Prime factors of 85 are 5 x 17

Prime factors of 39 are 3 x 13

Prime factors of 51 are 3 x 17

Prime factors of 53 are 53

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

Steps to Calculate GCD of 85, 39, 51, 53 using LCM Formula

Given numbers are 85, 39, 51, 53

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

Apply this formula for all numbers.

Step1:

LCM(85, 39) = 3315

GCD(85, 39) = ( 85 x 39 ) / 3315

= 85 / 39

= 85


Step2:

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

= 1 / 51

= 1


Step3:

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

= 1 / 53

= 1


So, Greatest Common Divisor of 85, 39, 51, 53 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 85, 39, 51, 53

Given numbers are 85, 39, 51, 53
The greatest common divisor of numbers 85, 39, 51, 53 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 85, 39, 51, 53 is 1.

FAQs on GCD of 85, 39, 51, 53 Calculator

1. What is the GCD of 85, 39, 51, 53?

GCD of given numbers 85, 39, 51, 53 is 1


2. How to calculate the greatest common divisor of 85, 39, 51, 53?

We can find the highest common divisor of 85, 39, 51, 53 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 85, 39, 51, 53 i.e 1.


3. How can I use the GCD of 85, 39, 51, 53Calculator?

Out the numbers 85, 39, 51, 53 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.