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, 899, 737, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 899, 737, 142 is 1
GCD(37, 899, 737, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 899, 737, 142 is 1
GCD(37, 899, 737, 142) = 1
Given Input numbers are 37, 899, 737, 142
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 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 37, 899, 737, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 899, 737, 142 is 1.
Therefore, GCD of numbers 37, 899, 737, 142 is 1
Given Input Data is 37, 899, 737, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 899 is 29 x 31
Prime Factorization of 737 is 11 x 67
Prime Factorization of 142 is 2 x 71
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, 899) = 33263
GCD(37, 899) = ( 37 x 899 ) / 33263
GCD(37, 899) = 33263 / 33263
GCD(37, 899) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
GCD of 37, 899, 737, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 899, 737, 142?
GCD of 37, 899, 737, 142 is 1
2. Where do I get the detailed procedure to find GCD of 37, 899, 737, 142?
You can find a detailed procedure to find GCD of 37, 899, 737, 142 on our page.
3. How to find GCD of 37, 899, 737, 142 on a calculator?
You can find the GCD of 37, 899, 737, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.