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 959, 146, 74, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 959, 146, 74, 759 is 1
GCD(959, 146, 74, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 959, 146, 74, 759 is 1
GCD(959, 146, 74, 759) = 1
Given Input numbers are 959, 146, 74, 759
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Greatest Common Divisior
We found the divisors of 959, 146, 74, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 146, 74, 759 is 1.
Therefore, GCD of numbers 959, 146, 74, 759 is 1
Given Input Data is 959, 146, 74, 759
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 959 is 7 x 137
Prime Factorization of 146 is 2 x 73
Prime Factorization of 74 is 2 x 37
Prime Factorization of 759 is 3 x 11 x 23
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(959, 146) = 140014
GCD(959, 146) = ( 959 x 146 ) / 140014
GCD(959, 146) = 140014 / 140014
GCD(959, 146) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
GCD of 959, 146, 74, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 959, 146, 74, 759?
GCD of 959, 146, 74, 759 is 1
2. Where do I get the detailed procedure to find GCD of 959, 146, 74, 759?
You can find a detailed procedure to find GCD of 959, 146, 74, 759 on our page.
3. How to find GCD of 959, 146, 74, 759 on a calculator?
You can find the GCD of 959, 146, 74, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.