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GCD of 9, 36, 49 Calculator

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


Online GCD Calculator is useful to find the GCD of 9, 36, 49 quickly. Get the easiest ways to solve the greatest common divisor of 9, 36, 49 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 9, 36, 49 with Factoring?

Given Input numbers are 9, 36, 49

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

Divisors of 9 :

The positive integer divisors of 9 that completely divides 9 are.

1, 3, 9

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 49 :

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

1, 7, 49


GCD of numbers is the greatest common divisor

So, the GCD (9, 36, 49) = 1.

Find GCD of 9, 36, 49 using Prime Factorization

Given numbers are 9, 36, 49

The list of prime factors of all numbers are

Prime factors of 9 are 3 x 3

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 49 are 7 x 7

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

Steps to Calculate GCD of 9, 36, 49 using LCM Formula

Given numbers are 9, 36, 49

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

Apply this formula for all numbers.

Step1:

LCM(9, 36) = 36

GCD(9, 36) = ( 9 x 36 ) / 36

= 9 / 36

= 9


Step2:

LCM(9, 49) = 441

GCD(9, 49) = ( 9 x 49 ) / 441

= 9 / 49

= 9


So, Greatest Common Divisor of 9, 36, 49 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 9, 36, 49

Given numbers are 9, 36, 49
The greatest common divisor of numbers 9, 36, 49 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 9, 36, 49 is 1.

FAQs on GCD of 9, 36, 49 Calculator

1. What is the GCD of 9, 36, 49?

GCD of given numbers 9, 36, 49 is 1


2. How to calculate the greatest common divisor of 9, 36, 49?

We can find the highest common divisor of 9, 36, 49 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 9, 36, 49 i.e 1.


3. How can I use the GCD of 9, 36, 49Calculator?

Out the numbers 9, 36, 49 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.