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 74, 133, 573, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 133, 573, 280 is 1
GCD(74, 133, 573, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 133, 573, 280 is 1
GCD(74, 133, 573, 280) = 1
Given Input numbers are 74, 133, 573, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
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 74, 133, 573, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 133, 573, 280 is 1.
Therefore, GCD of numbers 74, 133, 573, 280 is 1
Given Input Data is 74, 133, 573, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 133 is 7 x 19
Prime Factorization of 573 is 3 x 191
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(74, 133) = 9842
GCD(74, 133) = ( 74 x 133 ) / 9842
GCD(74, 133) = 9842 / 9842
GCD(74, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 573) = 573
GCD(1, 573) = ( 1 x 573 ) / 573
GCD(1, 573) = 573 / 573
GCD(1, 573) = 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 74, 133, 573, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 133, 573, 280?
GCD of 74, 133, 573, 280 is 1
2. Where do I get the detailed procedure to find GCD of 74, 133, 573, 280?
You can find a detailed procedure to find GCD of 74, 133, 573, 280 on our page.
3. How to find GCD of 74, 133, 573, 280 on a calculator?
You can find the GCD of 74, 133, 573, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.