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 93, 160, 348, 464 i.e. 1 largest integer that divides all the numbers equally.
GCD of 93, 160, 348, 464 is 1
GCD(93, 160, 348, 464) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 93, 160, 348, 464 is 1
GCD(93, 160, 348, 464) = 1
Given Input numbers are 93, 160, 348, 464
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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
Greatest Common Divisior
We found the divisors of 93, 160, 348, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 160, 348, 464 is 1.
Therefore, GCD of numbers 93, 160, 348, 464 is 1
Given Input Data is 93, 160, 348, 464
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 93 is 3 x 31
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
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(93, 160) = 14880
GCD(93, 160) = ( 93 x 160 ) / 14880
GCD(93, 160) = 14880 / 14880
GCD(93, 160) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
GCD of 93, 160, 348, 464 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 93, 160, 348, 464?
GCD of 93, 160, 348, 464 is 1
2. Where do I get the detailed procedure to find GCD of 93, 160, 348, 464?
You can find a detailed procedure to find GCD of 93, 160, 348, 464 on our page.
3. How to find GCD of 93, 160, 348, 464 on a calculator?
You can find the GCD of 93, 160, 348, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.