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, 870, 698, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 870, 698, 938 is 1
GCD(721, 870, 698, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 870, 698, 938 is 1
GCD(721, 870, 698, 938) = 1
Given Input numbers are 721, 870, 698, 938
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 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
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 721, 870, 698, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 870, 698, 938 is 1.
Therefore, GCD of numbers 721, 870, 698, 938 is 1
Given Input Data is 721, 870, 698, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 698 is 2 x 349
Prime Factorization of 938 is 2 x 7 x 67
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, 870) = 627270
GCD(721, 870) = ( 721 x 870 ) / 627270
GCD(721, 870) = 627270 / 627270
GCD(721, 870) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
GCD(1, 698) = 698 / 698
GCD(1, 698) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 721, 870, 698, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 870, 698, 938?
GCD of 721, 870, 698, 938 is 1
2. Where do I get the detailed procedure to find GCD of 721, 870, 698, 938?
You can find a detailed procedure to find GCD of 721, 870, 698, 938 on our page.
3. How to find GCD of 721, 870, 698, 938 on a calculator?
You can find the GCD of 721, 870, 698, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.