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, 792, 616, 895 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 792, 616, 895 is 1
GCD(220, 792, 616, 895) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 792, 616, 895 is 1
GCD(220, 792, 616, 895) = 1
Given Input numbers are 220, 792, 616, 895
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 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Greatest Common Divisior
We found the divisors of 220, 792, 616, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 792, 616, 895 is 1.
Therefore, GCD of numbers 220, 792, 616, 895 is 1
Given Input Data is 220, 792, 616, 895
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 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 895 is 5 x 179
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, 792) = 3960
GCD(220, 792) = ( 220 x 792 ) / 3960
GCD(220, 792) = 174240 / 3960
GCD(220, 792) = 44
Step2:
Here we consider the GCD from the above i.e. 44 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(44, 616) = 616
GCD(44, 616) = ( 44 x 616 ) / 616
GCD(44, 616) = 27104 / 616
GCD(44, 616) = 44
Step3:
Here we consider the GCD from the above i.e. 44 as first number and the next as 895
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(44, 895) = 39380
GCD(44, 895) = ( 44 x 895 ) / 39380
GCD(44, 895) = 39380 / 39380
GCD(44, 895) = 1
GCD of 220, 792, 616, 895 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 792, 616, 895?
GCD of 220, 792, 616, 895 is 1
2. Where do I get the detailed procedure to find GCD of 220, 792, 616, 895?
You can find a detailed procedure to find GCD of 220, 792, 616, 895 on our page.
3. How to find GCD of 220, 792, 616, 895 on a calculator?
You can find the GCD of 220, 792, 616, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.