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 708, 537, 965, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 537, 965, 133 is 1
GCD(708, 537, 965, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 537, 965, 133 is 1
GCD(708, 537, 965, 133) = 1
Given Input numbers are 708, 537, 965, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 708, 537, 965, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 537, 965, 133 is 1.
Therefore, GCD of numbers 708, 537, 965, 133 is 1
Given Input Data is 708, 537, 965, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 537 is 3 x 179
Prime Factorization of 965 is 5 x 193
Prime Factorization of 133 is 7 x 19
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(708, 537) = 126732
GCD(708, 537) = ( 708 x 537 ) / 126732
GCD(708, 537) = 380196 / 126732
GCD(708, 537) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 965) = 2895
GCD(3, 965) = ( 3 x 965 ) / 2895
GCD(3, 965) = 2895 / 2895
GCD(3, 965) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 708, 537, 965, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 537, 965, 133?
GCD of 708, 537, 965, 133 is 1
2. Where do I get the detailed procedure to find GCD of 708, 537, 965, 133?
You can find a detailed procedure to find GCD of 708, 537, 965, 133 on our page.
3. How to find GCD of 708, 537, 965, 133 on a calculator?
You can find the GCD of 708, 537, 965, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.