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, 619, 35, 958 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 619, 35, 958 is 1
GCD(721, 619, 35, 958) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 619, 35, 958 is 1
GCD(721, 619, 35, 958) = 1
Given Input numbers are 721, 619, 35, 958
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 619
List of positive integer divisors of 619 that divides 619 without a remainder.
1, 619
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 721, 619, 35, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 619, 35, 958 is 1.
Therefore, GCD of numbers 721, 619, 35, 958 is 1
Given Input Data is 721, 619, 35, 958
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 619 is 619
Prime Factorization of 35 is 5 x 7
Prime Factorization of 958 is 2 x 479
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, 619) = 446299
GCD(721, 619) = ( 721 x 619 ) / 446299
GCD(721, 619) = 446299 / 446299
GCD(721, 619) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 958) = 958
GCD(1, 958) = ( 1 x 958 ) / 958
GCD(1, 958) = 958 / 958
GCD(1, 958) = 1
GCD of 721, 619, 35, 958 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 619, 35, 958?
GCD of 721, 619, 35, 958 is 1
2. Where do I get the detailed procedure to find GCD of 721, 619, 35, 958?
You can find a detailed procedure to find GCD of 721, 619, 35, 958 on our page.
3. How to find GCD of 721, 619, 35, 958 on a calculator?
You can find the GCD of 721, 619, 35, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.