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 595, 272, 98, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 595, 272, 98, 280 is 1
GCD(595, 272, 98, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 595, 272, 98, 280 is 1
GCD(595, 272, 98, 280) = 1
Given Input numbers are 595, 272, 98, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
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
Greatest Common Divisior
We found the divisors of 595, 272, 98, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 272, 98, 280 is 1.
Therefore, GCD of numbers 595, 272, 98, 280 is 1
Given Input Data is 595, 272, 98, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 280 is 2 x 2 x 2 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(595, 272) = 9520
GCD(595, 272) = ( 595 x 272 ) / 9520
GCD(595, 272) = 161840 / 9520
GCD(595, 272) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 98) = 1666
GCD(17, 98) = ( 17 x 98 ) / 1666
GCD(17, 98) = 1666 / 1666
GCD(17, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
GCD of 595, 272, 98, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 595, 272, 98, 280?
GCD of 595, 272, 98, 280 is 1
2. Where do I get the detailed procedure to find GCD of 595, 272, 98, 280?
You can find a detailed procedure to find GCD of 595, 272, 98, 280 on our page.
3. How to find GCD of 595, 272, 98, 280 on a calculator?
You can find the GCD of 595, 272, 98, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.