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 374, 801, 45, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 801, 45, 533 is 1
GCD(374, 801, 45, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 801, 45, 533 is 1
GCD(374, 801, 45, 533) = 1
Given Input numbers are 374, 801, 45, 533
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 374, 801, 45, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 801, 45, 533 is 1.
Therefore, GCD of numbers 374, 801, 45, 533 is 1
Given Input Data is 374, 801, 45, 533
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 533 is 13 x 41
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(374, 801) = 299574
GCD(374, 801) = ( 374 x 801 ) / 299574
GCD(374, 801) = 299574 / 299574
GCD(374, 801) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
GCD(1, 533) = 533 / 533
GCD(1, 533) = 1
GCD of 374, 801, 45, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 801, 45, 533?
GCD of 374, 801, 45, 533 is 1
2. Where do I get the detailed procedure to find GCD of 374, 801, 45, 533?
You can find a detailed procedure to find GCD of 374, 801, 45, 533 on our page.
3. How to find GCD of 374, 801, 45, 533 on a calculator?
You can find the GCD of 374, 801, 45, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.