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 44, 616, 201, 883 i.e. 1 largest integer that divides all the numbers equally.
GCD of 44, 616, 201, 883 is 1
GCD(44, 616, 201, 883) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 616, 201, 883 is 1
GCD(44, 616, 201, 883) = 1
Given Input numbers are 44, 616, 201, 883
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
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 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Greatest Common Divisior
We found the divisors of 44, 616, 201, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 616, 201, 883 is 1.
Therefore, GCD of numbers 44, 616, 201, 883 is 1
Given Input Data is 44, 616, 201, 883
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 201 is 3 x 67
Prime Factorization of 883 is 883
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(44, 616) = 616
GCD(44, 616) = ( 44 x 616 ) / 616
GCD(44, 616) = 27104 / 616
GCD(44, 616) = 44
Step2:
Here we consider the GCD from the above i.e. 44 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(44, 201) = 8844
GCD(44, 201) = ( 44 x 201 ) / 8844
GCD(44, 201) = 8844 / 8844
GCD(44, 201) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 883) = 883
GCD(1, 883) = ( 1 x 883 ) / 883
GCD(1, 883) = 883 / 883
GCD(1, 883) = 1
GCD of 44, 616, 201, 883 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 44, 616, 201, 883?
GCD of 44, 616, 201, 883 is 1
2. Where do I get the detailed procedure to find GCD of 44, 616, 201, 883?
You can find a detailed procedure to find GCD of 44, 616, 201, 883 on our page.
3. How to find GCD of 44, 616, 201, 883 on a calculator?
You can find the GCD of 44, 616, 201, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.