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, 837, 148, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 837, 148, 736 is 1
GCD(37, 837, 148, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 837, 148, 736 is 1
GCD(37, 837, 148, 736) = 1
Given Input numbers are 37, 837, 148, 736
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 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 37, 837, 148, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 837, 148, 736 is 1.
Therefore, GCD of numbers 37, 837, 148, 736 is 1
Given Input Data is 37, 837, 148, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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, 837) = 30969
GCD(37, 837) = ( 37 x 837 ) / 30969
GCD(37, 837) = 30969 / 30969
GCD(37, 837) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
GCD(1, 148) = 148 / 148
GCD(1, 148) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 37, 837, 148, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 837, 148, 736?
GCD of 37, 837, 148, 736 is 1
2. Where do I get the detailed procedure to find GCD of 37, 837, 148, 736?
You can find a detailed procedure to find GCD of 37, 837, 148, 736 on our page.
3. How to find GCD of 37, 837, 148, 736 on a calculator?
You can find the GCD of 37, 837, 148, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.