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 37, 82, 49 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 82, 49 is 1
GCD(37, 82, 49) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 82, 49 is 1
GCD(37, 82, 49) = 1
Given Input numbers are 37, 82, 49
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Greatest Common Divisior
We found the divisors of 37, 82, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 82, 49 is 1.
Therefore, GCD of numbers 37, 82, 49 is 1
Given Input Data is 37, 82, 49
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 82 is 2 x 41
Prime Factorization of 49 is 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
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(37, 82) = 3034
GCD(37, 82) = ( 37 x 82 ) / 3034
GCD(37, 82) = 3034 / 3034
GCD(37, 82) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
GCD of 37, 82, 49 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 82, 49?
GCD of 37, 82, 49 is 1
2. Where do I get the detailed procedure to find GCD of 37, 82, 49?
You can find a detailed procedure to find GCD of 37, 82, 49 on our page.
3. How to find GCD of 37, 82, 49 on a calculator?
You can find the GCD of 37, 82, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.