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 721, 650, 529, 870 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 650, 529, 870 is 1
GCD(721, 650, 529, 870) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 650, 529, 870 is 1
GCD(721, 650, 529, 870) = 1
Given Input numbers are 721, 650, 529, 870
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Greatest Common Divisior
We found the divisors of 721, 650, 529, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 650, 529, 870 is 1.
Therefore, GCD of numbers 721, 650, 529, 870 is 1
Given Input Data is 721, 650, 529, 870
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 529 is 23 x 23
Prime Factorization of 870 is 2 x 3 x 5 x 29
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(721, 650) = 468650
GCD(721, 650) = ( 721 x 650 ) / 468650
GCD(721, 650) = 468650 / 468650
GCD(721, 650) = 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 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
GCD(1, 870) = 870 / 870
GCD(1, 870) = 1
GCD of 721, 650, 529, 870 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 650, 529, 870?
GCD of 721, 650, 529, 870 is 1
2. Where do I get the detailed procedure to find GCD of 721, 650, 529, 870?
You can find a detailed procedure to find GCD of 721, 650, 529, 870 on our page.
3. How to find GCD of 721, 650, 529, 870 on a calculator?
You can find the GCD of 721, 650, 529, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.