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 426, 848, 45, 591 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 848, 45, 591 is 1
GCD(426, 848, 45, 591) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 848, 45, 591 is 1
GCD(426, 848, 45, 591) = 1
Given Input numbers are 426, 848, 45, 591
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Greatest Common Divisior
We found the divisors of 426, 848, 45, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 848, 45, 591 is 1.
Therefore, GCD of numbers 426, 848, 45, 591 is 1
Given Input Data is 426, 848, 45, 591
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 591 is 3 x 197
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(426, 848) = 180624
GCD(426, 848) = ( 426 x 848 ) / 180624
GCD(426, 848) = 361248 / 180624
GCD(426, 848) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 45) = 90
GCD(2, 45) = ( 2 x 45 ) / 90
GCD(2, 45) = 90 / 90
GCD(2, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 591) = 591
GCD(1, 591) = ( 1 x 591 ) / 591
GCD(1, 591) = 591 / 591
GCD(1, 591) = 1
GCD of 426, 848, 45, 591 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 848, 45, 591?
GCD of 426, 848, 45, 591 is 1
2. Where do I get the detailed procedure to find GCD of 426, 848, 45, 591?
You can find a detailed procedure to find GCD of 426, 848, 45, 591 on our page.
3. How to find GCD of 426, 848, 45, 591 on a calculator?
You can find the GCD of 426, 848, 45, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.