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 307, 668, 740, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 668, 740, 900 is 1
GCD(307, 668, 740, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 668, 740, 900 is 1
GCD(307, 668, 740, 900) = 1
Given Input numbers are 307, 668, 740, 900
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
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 307, 668, 740, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 668, 740, 900 is 1.
Therefore, GCD of numbers 307, 668, 740, 900 is 1
Given Input Data is 307, 668, 740, 900
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 740 is 2 x 2 x 5 x 37
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(307, 668) = 205076
GCD(307, 668) = ( 307 x 668 ) / 205076
GCD(307, 668) = 205076 / 205076
GCD(307, 668) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 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 307, 668, 740, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 668, 740, 900?
GCD of 307, 668, 740, 900 is 1
2. Where do I get the detailed procedure to find GCD of 307, 668, 740, 900?
You can find a detailed procedure to find GCD of 307, 668, 740, 900 on our page.
3. How to find GCD of 307, 668, 740, 900 on a calculator?
You can find the GCD of 307, 668, 740, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.