GCD of 71, 9, 37, 99 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 71, 9, 37, 99 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 9, 37, 99 is 1
GCD(71, 9, 37, 99) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 9, 37, 99 is 1
GCD(71, 9, 37, 99) = 1
GCDof 71,9,37,99 is 1
Given Input numbers are 71, 9, 37, 99
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 9
List of positive integer divisors of 9 that divides 9 without a remainder.
1, 3, 9
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Greatest Common Divisior
We found the divisors of 71, 9, 37, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 9, 37, 99 is 1.
Therefore, GCD of numbers 71, 9, 37, 99 is 1
Given Input Data is 71, 9, 37, 99
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 9 is 3 x 3
Prime Factorization of 37 is 37
Prime Factorization of 99 is 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 71, 9, 37, 99 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(71, 9) = 639
GCD(71, 9) = ( 71 x 9 ) / 639
GCD(71, 9) = 639 / 639
GCD(71, 9) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
GCD of 71, 9, 37, 99 is 1
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FAQs on GCD of numbers 71, 9, 37, 99
1. What is the GCD of 71, 9, 37, 99?
GCD of 71, 9, 37, 99 is 1
2. Where do I get the detailed procedure to find GCD of 71, 9, 37, 99?
You can find a detailed procedure to find GCD of 71, 9, 37, 99 on our page.
3. How to find GCD of 71, 9, 37, 99 on a calculator?
You can find the GCD of 71, 9, 37, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.