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 159, 988, 715, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 988, 715, 565 is 1
GCD(159, 988, 715, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 988, 715, 565 is 1
GCD(159, 988, 715, 565) = 1
Given Input numbers are 159, 988, 715, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 159, 988, 715, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 988, 715, 565 is 1.
Therefore, GCD of numbers 159, 988, 715, 565 is 1
Given Input Data is 159, 988, 715, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 565 is 5 x 113
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(159, 988) = 157092
GCD(159, 988) = ( 159 x 988 ) / 157092
GCD(159, 988) = 157092 / 157092
GCD(159, 988) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 715
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 715) = 715
GCD(1, 715) = ( 1 x 715 ) / 715
GCD(1, 715) = 715 / 715
GCD(1, 715) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 159, 988, 715, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 988, 715, 565?
GCD of 159, 988, 715, 565 is 1
2. Where do I get the detailed procedure to find GCD of 159, 988, 715, 565?
You can find a detailed procedure to find GCD of 159, 988, 715, 565 on our page.
3. How to find GCD of 159, 988, 715, 565 on a calculator?
You can find the GCD of 159, 988, 715, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.