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 745, 474, 221, 163 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 474, 221, 163 is 1
GCD(745, 474, 221, 163) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 474, 221, 163 is 1
GCD(745, 474, 221, 163) = 1
Given Input numbers are 745, 474, 221, 163
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Greatest Common Divisior
We found the divisors of 745, 474, 221, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 474, 221, 163 is 1.
Therefore, GCD of numbers 745, 474, 221, 163 is 1
Given Input Data is 745, 474, 221, 163
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 745 is 5 x 149
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 221 is 13 x 17
Prime Factorization of 163 is 163
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(745, 474) = 353130
GCD(745, 474) = ( 745 x 474 ) / 353130
GCD(745, 474) = 353130 / 353130
GCD(745, 474) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 163) = 163
GCD(1, 163) = ( 1 x 163 ) / 163
GCD(1, 163) = 163 / 163
GCD(1, 163) = 1
GCD of 745, 474, 221, 163 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 745, 474, 221, 163?
GCD of 745, 474, 221, 163 is 1
2. Where do I get the detailed procedure to find GCD of 745, 474, 221, 163?
You can find a detailed procedure to find GCD of 745, 474, 221, 163 on our page.
3. How to find GCD of 745, 474, 221, 163 on a calculator?
You can find the GCD of 745, 474, 221, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.