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 391, 402, 741, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 391, 402, 741, 959 is 1
GCD(391, 402, 741, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 391, 402, 741, 959 is 1
GCD(391, 402, 741, 959) = 1
Given Input numbers are 391, 402, 741, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
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 391, 402, 741, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 402, 741, 959 is 1.
Therefore, GCD of numbers 391, 402, 741, 959 is 1
Given Input Data is 391, 402, 741, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 391 is 17 x 23
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 741 is 3 x 13 x 19
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(391, 402) = 157182
GCD(391, 402) = ( 391 x 402 ) / 157182
GCD(391, 402) = 157182 / 157182
GCD(391, 402) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 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 391, 402, 741, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 391, 402, 741, 959?
GCD of 391, 402, 741, 959 is 1
2. Where do I get the detailed procedure to find GCD of 391, 402, 741, 959?
You can find a detailed procedure to find GCD of 391, 402, 741, 959 on our page.
3. How to find GCD of 391, 402, 741, 959 on a calculator?
You can find the GCD of 391, 402, 741, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.