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, 962, 660, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 962, 660, 144 is 1
GCD(307, 962, 660, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 962, 660, 144 is 1
GCD(307, 962, 660, 144) = 1
Given Input numbers are 307, 962, 660, 144
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 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 307, 962, 660, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 962, 660, 144 is 1.
Therefore, GCD of numbers 307, 962, 660, 144 is 1
Given Input Data is 307, 962, 660, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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, 962) = 295334
GCD(307, 962) = ( 307 x 962 ) / 295334
GCD(307, 962) = 295334 / 295334
GCD(307, 962) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 307, 962, 660, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 962, 660, 144?
GCD of 307, 962, 660, 144 is 1
2. Where do I get the detailed procedure to find GCD of 307, 962, 660, 144?
You can find a detailed procedure to find GCD of 307, 962, 660, 144 on our page.
3. How to find GCD of 307, 962, 660, 144 on a calculator?
You can find the GCD of 307, 962, 660, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.