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 464, 248, 417, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 248, 417, 942 is 1
GCD(464, 248, 417, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 248, 417, 942 is 1
GCD(464, 248, 417, 942) = 1
Given Input numbers are 464, 248, 417, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 464, 248, 417, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 248, 417, 942 is 1.
Therefore, GCD of numbers 464, 248, 417, 942 is 1
Given Input Data is 464, 248, 417, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 417 is 3 x 139
Prime Factorization of 942 is 2 x 3 x 157
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(464, 248) = 14384
GCD(464, 248) = ( 464 x 248 ) / 14384
GCD(464, 248) = 115072 / 14384
GCD(464, 248) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 417
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 417) = 3336
GCD(8, 417) = ( 8 x 417 ) / 3336
GCD(8, 417) = 3336 / 3336
GCD(8, 417) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 464, 248, 417, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 248, 417, 942?
GCD of 464, 248, 417, 942 is 1
2. Where do I get the detailed procedure to find GCD of 464, 248, 417, 942?
You can find a detailed procedure to find GCD of 464, 248, 417, 942 on our page.
3. How to find GCD of 464, 248, 417, 942 on a calculator?
You can find the GCD of 464, 248, 417, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.