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 290, 421, 80, 525 i.e. 1 largest integer that divides all the numbers equally.
GCD of 290, 421, 80, 525 is 1
GCD(290, 421, 80, 525) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 290, 421, 80, 525 is 1
GCD(290, 421, 80, 525) = 1
Given Input numbers are 290, 421, 80, 525
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Greatest Common Divisior
We found the divisors of 290, 421, 80, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 421, 80, 525 is 1.
Therefore, GCD of numbers 290, 421, 80, 525 is 1
Given Input Data is 290, 421, 80, 525
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 421 is 421
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 525 is 3 x 5 x 5 x 7
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(290, 421) = 122090
GCD(290, 421) = ( 290 x 421 ) / 122090
GCD(290, 421) = 122090 / 122090
GCD(290, 421) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 525) = 525
GCD(1, 525) = ( 1 x 525 ) / 525
GCD(1, 525) = 525 / 525
GCD(1, 525) = 1
GCD of 290, 421, 80, 525 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 290, 421, 80, 525?
GCD of 290, 421, 80, 525 is 1
2. Where do I get the detailed procedure to find GCD of 290, 421, 80, 525?
You can find a detailed procedure to find GCD of 290, 421, 80, 525 on our page.
3. How to find GCD of 290, 421, 80, 525 on a calculator?
You can find the GCD of 290, 421, 80, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.