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 82, 708, 267, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 708, 267, 940 is 1
GCD(82, 708, 267, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 708, 267, 940 is 1
GCD(82, 708, 267, 940) = 1
Given Input numbers are 82, 708, 267, 940
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
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 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 82, 708, 267, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 708, 267, 940 is 1.
Therefore, GCD of numbers 82, 708, 267, 940 is 1
Given Input Data is 82, 708, 267, 940
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 267 is 3 x 89
Prime Factorization of 940 is 2 x 2 x 5 x 47
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(82, 708) = 29028
GCD(82, 708) = ( 82 x 708 ) / 29028
GCD(82, 708) = 58056 / 29028
GCD(82, 708) = 2
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
GCD of 82, 708, 267, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 708, 267, 940?
GCD of 82, 708, 267, 940 is 1
2. Where do I get the detailed procedure to find GCD of 82, 708, 267, 940?
You can find a detailed procedure to find GCD of 82, 708, 267, 940 on our page.
3. How to find GCD of 82, 708, 267, 940 on a calculator?
You can find the GCD of 82, 708, 267, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.