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 319, 126, 734, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 319, 126, 734, 959 is 1
GCD(319, 126, 734, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 319, 126, 734, 959 is 1
GCD(319, 126, 734, 959) = 1
Given Input numbers are 319, 126, 734, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 319, 126, 734, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 126, 734, 959 is 1.
Therefore, GCD of numbers 319, 126, 734, 959 is 1
Given Input Data is 319, 126, 734, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 319 is 11 x 29
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 734 is 2 x 367
Prime Factorization of 959 is 7 x 137
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(319, 126) = 40194
GCD(319, 126) = ( 319 x 126 ) / 40194
GCD(319, 126) = 40194 / 40194
GCD(319, 126) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 319, 126, 734, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 319, 126, 734, 959?
GCD of 319, 126, 734, 959 is 1
2. Where do I get the detailed procedure to find GCD of 319, 126, 734, 959?
You can find a detailed procedure to find GCD of 319, 126, 734, 959 on our page.
3. How to find GCD of 319, 126, 734, 959 on a calculator?
You can find the GCD of 319, 126, 734, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.