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 137, 714, 529, 864 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 714, 529, 864 is 1
GCD(137, 714, 529, 864) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 714, 529, 864 is 1
GCD(137, 714, 529, 864) = 1
Given Input numbers are 137, 714, 529, 864
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Greatest Common Divisior
We found the divisors of 137, 714, 529, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 714, 529, 864 is 1.
Therefore, GCD of numbers 137, 714, 529, 864 is 1
Given Input Data is 137, 714, 529, 864
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 529 is 23 x 23
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 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(137, 714) = 97818
GCD(137, 714) = ( 137 x 714 ) / 97818
GCD(137, 714) = 97818 / 97818
GCD(137, 714) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
GCD of 137, 714, 529, 864 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 714, 529, 864?
GCD of 137, 714, 529, 864 is 1
2. Where do I get the detailed procedure to find GCD of 137, 714, 529, 864?
You can find a detailed procedure to find GCD of 137, 714, 529, 864 on our page.
3. How to find GCD of 137, 714, 529, 864 on a calculator?
You can find the GCD of 137, 714, 529, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.