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 714, 155, 38, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 714, 155, 38, 900 is 1
GCD(714, 155, 38, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 714, 155, 38, 900 is 1
GCD(714, 155, 38, 900) = 1
Given Input numbers are 714, 155, 38, 900
To find the GCD of numbers using factoring list out all the divisors of each number
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 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greatest Common Divisior
We found the divisors of 714, 155, 38, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 155, 38, 900 is 1.
Therefore, GCD of numbers 714, 155, 38, 900 is 1
Given Input Data is 714, 155, 38, 900
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 155 is 5 x 31
Prime Factorization of 38 is 2 x 19
Prime Factorization of 900 is 2 x 2 x 3 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(714, 155) = 110670
GCD(714, 155) = ( 714 x 155 ) / 110670
GCD(714, 155) = 110670 / 110670
GCD(714, 155) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
GCD of 714, 155, 38, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 714, 155, 38, 900?
GCD of 714, 155, 38, 900 is 1
2. Where do I get the detailed procedure to find GCD of 714, 155, 38, 900?
You can find a detailed procedure to find GCD of 714, 155, 38, 900 on our page.
3. How to find GCD of 714, 155, 38, 900 on a calculator?
You can find the GCD of 714, 155, 38, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.