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 835, 748, 714, 150 i.e. 1 largest integer that divides all the numbers equally.
GCD of 835, 748, 714, 150 is 1
GCD(835, 748, 714, 150) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 835, 748, 714, 150 is 1
GCD(835, 748, 714, 150) = 1
Given Input numbers are 835, 748, 714, 150
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
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
Greatest Common Divisior
We found the divisors of 835, 748, 714, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 748, 714, 150 is 1.
Therefore, GCD of numbers 835, 748, 714, 150 is 1
Given Input Data is 835, 748, 714, 150
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 835 is 5 x 167
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 150 is 2 x 3 x 5 x 5
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(835, 748) = 624580
GCD(835, 748) = ( 835 x 748 ) / 624580
GCD(835, 748) = 624580 / 624580
GCD(835, 748) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
GCD of 835, 748, 714, 150 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 835, 748, 714, 150?
GCD of 835, 748, 714, 150 is 1
2. Where do I get the detailed procedure to find GCD of 835, 748, 714, 150?
You can find a detailed procedure to find GCD of 835, 748, 714, 150 on our page.
3. How to find GCD of 835, 748, 714, 150 on a calculator?
You can find the GCD of 835, 748, 714, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.