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, 465, 894, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 465, 894, 767 is 1
GCD(37, 465, 894, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 465, 894, 767 is 1
GCD(37, 465, 894, 767) = 1
Given Input numbers are 37, 465, 894, 767
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 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 37, 465, 894, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 465, 894, 767 is 1.
Therefore, GCD of numbers 37, 465, 894, 767 is 1
Given Input Data is 37, 465, 894, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 767 is 13 x 59
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, 465) = 17205
GCD(37, 465) = ( 37 x 465 ) / 17205
GCD(37, 465) = 17205 / 17205
GCD(37, 465) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 37, 465, 894, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 465, 894, 767?
GCD of 37, 465, 894, 767 is 1
2. Where do I get the detailed procedure to find GCD of 37, 465, 894, 767?
You can find a detailed procedure to find GCD of 37, 465, 894, 767 on our page.
3. How to find GCD of 37, 465, 894, 767 on a calculator?
You can find the GCD of 37, 465, 894, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.