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GCD of 61, 49, 30, 97 Calculator

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


Online GCD Calculator is useful to find the GCD of 61, 49, 30, 97 quickly. Get the easiest ways to solve the greatest common divisor of 61, 49, 30, 97 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 61, 49, 30, 97 with Factoring?

Given Input numbers are 61, 49, 30, 97

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

Divisors of 61 :

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

1, 61

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 97 :

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

1, 97


GCD of numbers is the greatest common divisor

So, the GCD (61, 49, 30, 97) = 1.

Find GCD of 61, 49, 30, 97 using Prime Factorization

Given numbers are 61, 49, 30, 97

The list of prime factors of all numbers are

Prime factors of 61 are 61

Prime factors of 49 are 7 x 7

Prime factors of 30 are 2 x 3 x 5

Prime factors of 97 are 97

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

Steps to Calculate GCD of 61, 49, 30, 97 using LCM Formula

Given numbers are 61, 49, 30, 97

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

Apply this formula for all numbers.

Step1:

LCM(61, 49) = 2989

GCD(61, 49) = ( 61 x 49 ) / 2989

= 61 / 49

= 61


Step2:

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

= 1 / 30

= 1


Step3:

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

= 1 / 97

= 1


So, Greatest Common Divisor of 61, 49, 30, 97 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 61, 49, 30, 97

Given numbers are 61, 49, 30, 97
The greatest common divisor of numbers 61, 49, 30, 97 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 61, 49, 30, 97 is 1.

FAQs on GCD of 61, 49, 30, 97 Calculator

1. What is the GCD of 61, 49, 30, 97?

GCD of given numbers 61, 49, 30, 97 is 1


2. How to calculate the greatest common divisor of 61, 49, 30, 97?

We can find the highest common divisor of 61, 49, 30, 97 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 61, 49, 30, 97 i.e 1.


3. How can I use the GCD of 61, 49, 30, 97Calculator?

Out the numbers 61, 49, 30, 97 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.