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 133, 715, 32, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 715, 32, 588 is 1
GCD(133, 715, 32, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 715, 32, 588 is 1
GCD(133, 715, 32, 588) = 1
Given Input numbers are 133, 715, 32, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 133, 715, 32, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 715, 32, 588 is 1.
Therefore, GCD of numbers 133, 715, 32, 588 is 1
Given Input Data is 133, 715, 32, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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(133, 715) = 95095
GCD(133, 715) = ( 133 x 715 ) / 95095
GCD(133, 715) = 95095 / 95095
GCD(133, 715) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 133, 715, 32, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 715, 32, 588?
GCD of 133, 715, 32, 588 is 1
2. Where do I get the detailed procedure to find GCD of 133, 715, 32, 588?
You can find a detailed procedure to find GCD of 133, 715, 32, 588 on our page.
3. How to find GCD of 133, 715, 32, 588 on a calculator?
You can find the GCD of 133, 715, 32, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.