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 220, 429, 732, 718 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 429, 732, 718 is 1
GCD(220, 429, 732, 718) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 429, 732, 718 is 1
GCD(220, 429, 732, 718) = 1
Given Input numbers are 220, 429, 732, 718
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Greatest Common Divisior
We found the divisors of 220, 429, 732, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 429, 732, 718 is 1.
Therefore, GCD of numbers 220, 429, 732, 718 is 1
Given Input Data is 220, 429, 732, 718
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 718 is 2 x 359
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(220, 429) = 8580
GCD(220, 429) = ( 220 x 429 ) / 8580
GCD(220, 429) = 94380 / 8580
GCD(220, 429) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 732) = 8052
GCD(11, 732) = ( 11 x 732 ) / 8052
GCD(11, 732) = 8052 / 8052
GCD(11, 732) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
GCD(1, 718) = 718 / 718
GCD(1, 718) = 1
GCD of 220, 429, 732, 718 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 429, 732, 718?
GCD of 220, 429, 732, 718 is 1
2. Where do I get the detailed procedure to find GCD of 220, 429, 732, 718?
You can find a detailed procedure to find GCD of 220, 429, 732, 718 on our page.
3. How to find GCD of 220, 429, 732, 718 on a calculator?
You can find the GCD of 220, 429, 732, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.