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 73, 157, 280, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 157, 280, 399 is 1
GCD(73, 157, 280, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 157, 280, 399 is 1
GCD(73, 157, 280, 399) = 1
Given Input numbers are 73, 157, 280, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
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 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 73, 157, 280, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 157, 280, 399 is 1.
Therefore, GCD of numbers 73, 157, 280, 399 is 1
Given Input Data is 73, 157, 280, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 157 is 157
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 399 is 3 x 7 x 19
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(73, 157) = 11461
GCD(73, 157) = ( 73 x 157 ) / 11461
GCD(73, 157) = 11461 / 11461
GCD(73, 157) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 73, 157, 280, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 157, 280, 399?
GCD of 73, 157, 280, 399 is 1
2. Where do I get the detailed procedure to find GCD of 73, 157, 280, 399?
You can find a detailed procedure to find GCD of 73, 157, 280, 399 on our page.
3. How to find GCD of 73, 157, 280, 399 on a calculator?
You can find the GCD of 73, 157, 280, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.