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 80, 708, 149, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 708, 149, 241 is 1
GCD(80, 708, 149, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 708, 149, 241 is 1
GCD(80, 708, 149, 241) = 1
Given Input numbers are 80, 708, 149, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 80, 708, 149, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 708, 149, 241 is 1.
Therefore, GCD of numbers 80, 708, 149, 241 is 1
Given Input Data is 80, 708, 149, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 149 is 149
Prime Factorization of 241 is 241
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(80, 708) = 14160
GCD(80, 708) = ( 80 x 708 ) / 14160
GCD(80, 708) = 56640 / 14160
GCD(80, 708) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 149) = 596
GCD(4, 149) = ( 4 x 149 ) / 596
GCD(4, 149) = 596 / 596
GCD(4, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 80, 708, 149, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 708, 149, 241?
GCD of 80, 708, 149, 241 is 1
2. Where do I get the detailed procedure to find GCD of 80, 708, 149, 241?
You can find a detailed procedure to find GCD of 80, 708, 149, 241 on our page.
3. How to find GCD of 80, 708, 149, 241 on a calculator?
You can find the GCD of 80, 708, 149, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.