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 148, 890, 594, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 890, 594, 267 is 1
GCD(148, 890, 594, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 890, 594, 267 is 1
GCD(148, 890, 594, 267) = 1
Given Input numbers are 148, 890, 594, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 148, 890, 594, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 890, 594, 267 is 1.
Therefore, GCD of numbers 148, 890, 594, 267 is 1
Given Input Data is 148, 890, 594, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 267 is 3 x 89
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(148, 890) = 65860
GCD(148, 890) = ( 148 x 890 ) / 65860
GCD(148, 890) = 131720 / 65860
GCD(148, 890) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 594
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 594) = 594
GCD(2, 594) = ( 2 x 594 ) / 594
GCD(2, 594) = 1188 / 594
GCD(2, 594) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 267) = 534
GCD(2, 267) = ( 2 x 267 ) / 534
GCD(2, 267) = 534 / 534
GCD(2, 267) = 1
GCD of 148, 890, 594, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 890, 594, 267?
GCD of 148, 890, 594, 267 is 1
2. Where do I get the detailed procedure to find GCD of 148, 890, 594, 267?
You can find a detailed procedure to find GCD of 148, 890, 594, 267 on our page.
3. How to find GCD of 148, 890, 594, 267 on a calculator?
You can find the GCD of 148, 890, 594, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.