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 460, 124, 487, 708 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 124, 487, 708 is 1
GCD(460, 124, 487, 708) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 124, 487, 708 is 1
GCD(460, 124, 487, 708) = 1
Given Input numbers are 460, 124, 487, 708
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
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
Greatest Common Divisior
We found the divisors of 460, 124, 487, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 124, 487, 708 is 1.
Therefore, GCD of numbers 460, 124, 487, 708 is 1
Given Input Data is 460, 124, 487, 708
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 487 is 487
Prime Factorization of 708 is 2 x 2 x 3 x 59
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(460, 124) = 14260
GCD(460, 124) = ( 460 x 124 ) / 14260
GCD(460, 124) = 57040 / 14260
GCD(460, 124) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 487) = 1948
GCD(4, 487) = ( 4 x 487 ) / 1948
GCD(4, 487) = 1948 / 1948
GCD(4, 487) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
GCD of 460, 124, 487, 708 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 124, 487, 708?
GCD of 460, 124, 487, 708 is 1
2. Where do I get the detailed procedure to find GCD of 460, 124, 487, 708?
You can find a detailed procedure to find GCD of 460, 124, 487, 708 on our page.
3. How to find GCD of 460, 124, 487, 708 on a calculator?
You can find the GCD of 460, 124, 487, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.