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 901, 248, 85, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 248, 85, 440 is 1
GCD(901, 248, 85, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 248, 85, 440 is 1
GCD(901, 248, 85, 440) = 1
Given Input numbers are 901, 248, 85, 440
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 901, 248, 85, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 248, 85, 440 is 1.
Therefore, GCD of numbers 901, 248, 85, 440 is 1
Given Input Data is 901, 248, 85, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 85 is 5 x 17
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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(901, 248) = 223448
GCD(901, 248) = ( 901 x 248 ) / 223448
GCD(901, 248) = 223448 / 223448
GCD(901, 248) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 901, 248, 85, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 248, 85, 440?
GCD of 901, 248, 85, 440 is 1
2. Where do I get the detailed procedure to find GCD of 901, 248, 85, 440?
You can find a detailed procedure to find GCD of 901, 248, 85, 440 on our page.
3. How to find GCD of 901, 248, 85, 440 on a calculator?
You can find the GCD of 901, 248, 85, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.