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 416, 968, 23, 175 i.e. 1 largest integer that divides all the numbers equally.
GCD of 416, 968, 23, 175 is 1
GCD(416, 968, 23, 175) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 416, 968, 23, 175 is 1
GCD(416, 968, 23, 175) = 1
Given Input numbers are 416, 968, 23, 175
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Greatest Common Divisior
We found the divisors of 416, 968, 23, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 968, 23, 175 is 1.
Therefore, GCD of numbers 416, 968, 23, 175 is 1
Given Input Data is 416, 968, 23, 175
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 23 is 23
Prime Factorization of 175 is 5 x 5 x 7
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(416, 968) = 50336
GCD(416, 968) = ( 416 x 968 ) / 50336
GCD(416, 968) = 402688 / 50336
GCD(416, 968) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 23) = 184
GCD(8, 23) = ( 8 x 23 ) / 184
GCD(8, 23) = 184 / 184
GCD(8, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
GCD of 416, 968, 23, 175 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 416, 968, 23, 175?
GCD of 416, 968, 23, 175 is 1
2. Where do I get the detailed procedure to find GCD of 416, 968, 23, 175?
You can find a detailed procedure to find GCD of 416, 968, 23, 175 on our page.
3. How to find GCD of 416, 968, 23, 175 on a calculator?
You can find the GCD of 416, 968, 23, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.