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 465, 887, 980, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 887, 980, 240 is 1
GCD(465, 887, 980, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 887, 980, 240 is 1
GCD(465, 887, 980, 240) = 1
Given Input numbers are 465, 887, 980, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 465, 887, 980, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 887, 980, 240 is 1.
Therefore, GCD of numbers 465, 887, 980, 240 is 1
Given Input Data is 465, 887, 980, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 887 is 887
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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(465, 887) = 412455
GCD(465, 887) = ( 465 x 887 ) / 412455
GCD(465, 887) = 412455 / 412455
GCD(465, 887) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 465, 887, 980, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 887, 980, 240?
GCD of 465, 887, 980, 240 is 1
2. Where do I get the detailed procedure to find GCD of 465, 887, 980, 240?
You can find a detailed procedure to find GCD of 465, 887, 980, 240 on our page.
3. How to find GCD of 465, 887, 980, 240 on a calculator?
You can find the GCD of 465, 887, 980, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.