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 632, 345, 23, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 632, 345, 23, 920 is 1
GCD(632, 345, 23, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 632, 345, 23, 920 is 1
GCD(632, 345, 23, 920) = 1
Given Input numbers are 632, 345, 23, 920
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 632, 345, 23, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 345, 23, 920 is 1.
Therefore, GCD of numbers 632, 345, 23, 920 is 1
Given Input Data is 632, 345, 23, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 23 is 23
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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(632, 345) = 218040
GCD(632, 345) = ( 632 x 345 ) / 218040
GCD(632, 345) = 218040 / 218040
GCD(632, 345) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 632, 345, 23, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 632, 345, 23, 920?
GCD of 632, 345, 23, 920 is 1
2. Where do I get the detailed procedure to find GCD of 632, 345, 23, 920?
You can find a detailed procedure to find GCD of 632, 345, 23, 920 on our page.
3. How to find GCD of 632, 345, 23, 920 on a calculator?
You can find the GCD of 632, 345, 23, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.