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 529, 647, 763, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 529, 647, 763, 802 is 1
GCD(529, 647, 763, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 529, 647, 763, 802 is 1
GCD(529, 647, 763, 802) = 1
Given Input numbers are 529, 647, 763, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 529, 647, 763, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 647, 763, 802 is 1.
Therefore, GCD of numbers 529, 647, 763, 802 is 1
Given Input Data is 529, 647, 763, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 529 is 23 x 23
Prime Factorization of 647 is 647
Prime Factorization of 763 is 7 x 109
Prime Factorization of 802 is 2 x 401
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(529, 647) = 342263
GCD(529, 647) = ( 529 x 647 ) / 342263
GCD(529, 647) = 342263 / 342263
GCD(529, 647) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 529, 647, 763, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 529, 647, 763, 802?
GCD of 529, 647, 763, 802 is 1
2. Where do I get the detailed procedure to find GCD of 529, 647, 763, 802?
You can find a detailed procedure to find GCD of 529, 647, 763, 802 on our page.
3. How to find GCD of 529, 647, 763, 802 on a calculator?
You can find the GCD of 529, 647, 763, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.