GCD of 61, 72, 90 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 61, 72, 90 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 72, 90 is 1
GCD(61, 72, 90) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 72, 90 is 1
GCD(61, 72, 90) = 1
GCDof 61,72,90 is 1
Given Input numbers are 61, 72, 90
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Greatest Common Divisior
We found the divisors of 61, 72, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 72, 90 is 1.
Therefore, GCD of numbers 61, 72, 90 is 1
Given Input Data is 61, 72, 90
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 90 is 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 61, 72, 90 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(61, 72) = 4392
GCD(61, 72) = ( 61 x 72 ) / 4392
GCD(61, 72) = 4392 / 4392
GCD(61, 72) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
GCD of 61, 72, 90 is 1
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FAQs on GCD of numbers 61, 72, 90
1. What is the GCD of 61, 72, 90?
GCD of 61, 72, 90 is 1
2. Where do I get the detailed procedure to find GCD of 61, 72, 90?
You can find a detailed procedure to find GCD of 61, 72, 90 on our page.
3. How to find GCD of 61, 72, 90 on a calculator?
You can find the GCD of 61, 72, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.