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, 662, 149, 902 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 662, 149, 902 is 1
GCD(37, 662, 149, 902) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 662, 149, 902 is 1
GCD(37, 662, 149, 902) = 1
Given Input numbers are 37, 662, 149, 902
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 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Greatest Common Divisior
We found the divisors of 37, 662, 149, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 662, 149, 902 is 1.
Therefore, GCD of numbers 37, 662, 149, 902 is 1
Given Input Data is 37, 662, 149, 902
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 662 is 2 x 331
Prime Factorization of 149 is 149
Prime Factorization of 902 is 2 x 11 x 41
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, 662) = 24494
GCD(37, 662) = ( 37 x 662 ) / 24494
GCD(37, 662) = 24494 / 24494
GCD(37, 662) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
GCD(1, 902) = 902 / 902
GCD(1, 902) = 1
GCD of 37, 662, 149, 902 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 662, 149, 902?
GCD of 37, 662, 149, 902 is 1
2. Where do I get the detailed procedure to find GCD of 37, 662, 149, 902?
You can find a detailed procedure to find GCD of 37, 662, 149, 902 on our page.
3. How to find GCD of 37, 662, 149, 902 on a calculator?
You can find the GCD of 37, 662, 149, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.