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, 765, 754, 905 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 765, 754, 905 is 1
GCD(37, 765, 754, 905) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 765, 754, 905 is 1
GCD(37, 765, 754, 905) = 1
Given Input numbers are 37, 765, 754, 905
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 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Greatest Common Divisior
We found the divisors of 37, 765, 754, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 765, 754, 905 is 1.
Therefore, GCD of numbers 37, 765, 754, 905 is 1
Given Input Data is 37, 765, 754, 905
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 905 is 5 x 181
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, 765) = 28305
GCD(37, 765) = ( 37 x 765 ) / 28305
GCD(37, 765) = 28305 / 28305
GCD(37, 765) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
GCD of 37, 765, 754, 905 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 765, 754, 905?
GCD of 37, 765, 754, 905 is 1
2. Where do I get the detailed procedure to find GCD of 37, 765, 754, 905?
You can find a detailed procedure to find GCD of 37, 765, 754, 905 on our page.
3. How to find GCD of 37, 765, 754, 905 on a calculator?
You can find the GCD of 37, 765, 754, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.