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 958, 471, 49, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 958, 471, 49, 374 is 1
GCD(958, 471, 49, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 958, 471, 49, 374 is 1
GCD(958, 471, 49, 374) = 1
Given Input numbers are 958, 471, 49, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 958, 471, 49, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 471, 49, 374 is 1.
Therefore, GCD of numbers 958, 471, 49, 374 is 1
Given Input Data is 958, 471, 49, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 958 is 2 x 479
Prime Factorization of 471 is 3 x 157
Prime Factorization of 49 is 7 x 7
Prime Factorization of 374 is 2 x 11 x 17
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(958, 471) = 451218
GCD(958, 471) = ( 958 x 471 ) / 451218
GCD(958, 471) = 451218 / 451218
GCD(958, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 958, 471, 49, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 958, 471, 49, 374?
GCD of 958, 471, 49, 374 is 1
2. Where do I get the detailed procedure to find GCD of 958, 471, 49, 374?
You can find a detailed procedure to find GCD of 958, 471, 49, 374 on our page.
3. How to find GCD of 958, 471, 49, 374 on a calculator?
You can find the GCD of 958, 471, 49, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.