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, 952, 40, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 952, 40, 283 is 1
GCD(220, 952, 40, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 952, 40, 283 is 1
GCD(220, 952, 40, 283) = 1
Given Input numbers are 220, 952, 40, 283
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 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 220, 952, 40, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 952, 40, 283 is 1.
Therefore, GCD of numbers 220, 952, 40, 283 is 1
Given Input Data is 220, 952, 40, 283
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 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 283 is 283
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, 952) = 52360
GCD(220, 952) = ( 220 x 952 ) / 52360
GCD(220, 952) = 209440 / 52360
GCD(220, 952) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 40) = 40
GCD(4, 40) = ( 4 x 40 ) / 40
GCD(4, 40) = 160 / 40
GCD(4, 40) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 283) = 1132
GCD(4, 283) = ( 4 x 283 ) / 1132
GCD(4, 283) = 1132 / 1132
GCD(4, 283) = 1
GCD of 220, 952, 40, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 952, 40, 283?
GCD of 220, 952, 40, 283 is 1
2. Where do I get the detailed procedure to find GCD of 220, 952, 40, 283?
You can find a detailed procedure to find GCD of 220, 952, 40, 283 on our page.
3. How to find GCD of 220, 952, 40, 283 on a calculator?
You can find the GCD of 220, 952, 40, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.