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 150, 815, 21, 761 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 815, 21, 761 is 1
GCD(150, 815, 21, 761) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 815, 21, 761 is 1
GCD(150, 815, 21, 761) = 1
Given Input numbers are 150, 815, 21, 761
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Greatest Common Divisior
We found the divisors of 150, 815, 21, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 815, 21, 761 is 1.
Therefore, GCD of numbers 150, 815, 21, 761 is 1
Given Input Data is 150, 815, 21, 761
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 815 is 5 x 163
Prime Factorization of 21 is 3 x 7
Prime Factorization of 761 is 761
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(150, 815) = 24450
GCD(150, 815) = ( 150 x 815 ) / 24450
GCD(150, 815) = 122250 / 24450
GCD(150, 815) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 21) = 105
GCD(5, 21) = ( 5 x 21 ) / 105
GCD(5, 21) = 105 / 105
GCD(5, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
GCD(1, 761) = 761 / 761
GCD(1, 761) = 1
GCD of 150, 815, 21, 761 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 815, 21, 761?
GCD of 150, 815, 21, 761 is 1
2. Where do I get the detailed procedure to find GCD of 150, 815, 21, 761?
You can find a detailed procedure to find GCD of 150, 815, 21, 761 on our page.
3. How to find GCD of 150, 815, 21, 761 on a calculator?
You can find the GCD of 150, 815, 21, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.