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 280, 916, 90, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 280, 916, 90, 371 is 1
GCD(280, 916, 90, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 280, 916, 90, 371 is 1
GCD(280, 916, 90, 371) = 1
Given Input numbers are 280, 916, 90, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 280, 916, 90, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 916, 90, 371 is 1.
Therefore, GCD of numbers 280, 916, 90, 371 is 1
Given Input Data is 280, 916, 90, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 371 is 7 x 53
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(280, 916) = 64120
GCD(280, 916) = ( 280 x 916 ) / 64120
GCD(280, 916) = 256480 / 64120
GCD(280, 916) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 90) = 180
GCD(4, 90) = ( 4 x 90 ) / 180
GCD(4, 90) = 360 / 180
GCD(4, 90) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 371) = 742
GCD(2, 371) = ( 2 x 371 ) / 742
GCD(2, 371) = 742 / 742
GCD(2, 371) = 1
GCD of 280, 916, 90, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 280, 916, 90, 371?
GCD of 280, 916, 90, 371 is 1
2. Where do I get the detailed procedure to find GCD of 280, 916, 90, 371?
You can find a detailed procedure to find GCD of 280, 916, 90, 371 on our page.
3. How to find GCD of 280, 916, 90, 371 on a calculator?
You can find the GCD of 280, 916, 90, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.