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 948, 658, 41 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 658, 41 is 1
GCD(948, 658, 41) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 658, 41 is 1
GCD(948, 658, 41) = 1
Given Input numbers are 948, 658, 41
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Greatest Common Divisior
We found the divisors of 948, 658, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 658, 41 is 1.
Therefore, GCD of numbers 948, 658, 41 is 1
Given Input Data is 948, 658, 41
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 41 is 41
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(948, 658) = 311892
GCD(948, 658) = ( 948 x 658 ) / 311892
GCD(948, 658) = 623784 / 311892
GCD(948, 658) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
GCD of 948, 658, 41 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 658, 41?
GCD of 948, 658, 41 is 1
2. Where do I get the detailed procedure to find GCD of 948, 658, 41?
You can find a detailed procedure to find GCD of 948, 658, 41 on our page.
3. How to find GCD of 948, 658, 41 on a calculator?
You can find the GCD of 948, 658, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.