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 118, 958, 70, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 958, 70, 759 is 1
GCD(118, 958, 70, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 958, 70, 759 is 1
GCD(118, 958, 70, 759) = 1
Given Input numbers are 118, 958, 70, 759
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
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 118, 958, 70, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 958, 70, 759 is 1.
Therefore, GCD of numbers 118, 958, 70, 759 is 1
Given Input Data is 118, 958, 70, 759
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 958 is 2 x 479
Prime Factorization of 70 is 2 x 5 x 7
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(118, 958) = 56522
GCD(118, 958) = ( 118 x 958 ) / 56522
GCD(118, 958) = 113044 / 56522
GCD(118, 958) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 70) = 70
GCD(2, 70) = ( 2 x 70 ) / 70
GCD(2, 70) = 140 / 70
GCD(2, 70) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 759) = 1518
GCD(2, 759) = ( 2 x 759 ) / 1518
GCD(2, 759) = 1518 / 1518
GCD(2, 759) = 1
GCD of 118, 958, 70, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 958, 70, 759?
GCD of 118, 958, 70, 759 is 1
2. Where do I get the detailed procedure to find GCD of 118, 958, 70, 759?
You can find a detailed procedure to find GCD of 118, 958, 70, 759 on our page.
3. How to find GCD of 118, 958, 70, 759 on a calculator?
You can find the GCD of 118, 958, 70, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.