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, 580, 77, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 580, 77, 381 is 1
GCD(148, 580, 77, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 580, 77, 381 is 1
GCD(148, 580, 77, 381) = 1
Given Input numbers are 148, 580, 77, 381
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 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 148, 580, 77, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 580, 77, 381 is 1.
Therefore, GCD of numbers 148, 580, 77, 381 is 1
Given Input Data is 148, 580, 77, 381
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 580 is 2 x 2 x 5 x 29
Prime Factorization of 77 is 7 x 11
Prime Factorization of 381 is 3 x 127
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, 580) = 21460
GCD(148, 580) = ( 148 x 580 ) / 21460
GCD(148, 580) = 85840 / 21460
GCD(148, 580) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 77) = 308
GCD(4, 77) = ( 4 x 77 ) / 308
GCD(4, 77) = 308 / 308
GCD(4, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
GCD of 148, 580, 77, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 580, 77, 381?
GCD of 148, 580, 77, 381 is 1
2. Where do I get the detailed procedure to find GCD of 148, 580, 77, 381?
You can find a detailed procedure to find GCD of 148, 580, 77, 381 on our page.
3. How to find GCD of 148, 580, 77, 381 on a calculator?
You can find the GCD of 148, 580, 77, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.