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GCD of 97, 99, 61, 85 Calculator

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


Online GCD Calculator is useful to find the GCD of 97, 99, 61, 85 quickly. Get the easiest ways to solve the greatest common divisor of 97, 99, 61, 85 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 97, 99, 61, 85 with Factoring?

Given Input numbers are 97, 99, 61, 85

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

Divisors of 97 :

The positive integer divisors of 97 that completely divides 97 are.

1, 97

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61

Divisors of 85 :

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

1, 5, 17, 85


GCD of numbers is the greatest common divisor

So, the GCD (97, 99, 61, 85) = 1.

Find GCD of 97, 99, 61, 85 using Prime Factorization

Given numbers are 97, 99, 61, 85

The list of prime factors of all numbers are

Prime factors of 97 are 97

Prime factors of 99 are 3 x 3 x 11

Prime factors of 61 are 61

Prime factors of 85 are 5 x 17

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

Steps to Calculate GCD of 97, 99, 61, 85 using LCM Formula

Given numbers are 97, 99, 61, 85

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

Apply this formula for all numbers.

Step1:

LCM(97, 99) = 9603

GCD(97, 99) = ( 97 x 99 ) / 9603

= 97 / 99

= 97


Step2:

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

= 1 / 61

= 1


Step3:

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

= 1 / 85

= 1


So, Greatest Common Divisor of 97, 99, 61, 85 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 97, 99, 61, 85

Given numbers are 97, 99, 61, 85
The greatest common divisor of numbers 97, 99, 61, 85 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 97, 99, 61, 85 is 1.

FAQs on GCD of 97, 99, 61, 85 Calculator

1. What is the GCD of 97, 99, 61, 85?

GCD of given numbers 97, 99, 61, 85 is 1


2. How to calculate the greatest common divisor of 97, 99, 61, 85?

We can find the highest common divisor of 97, 99, 61, 85 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 97, 99, 61, 85 i.e 1.


3. How can I use the GCD of 97, 99, 61, 85Calculator?

Out the numbers 97, 99, 61, 85 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.