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, 938, 736, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 938, 736, 695 is 1
GCD(82, 938, 736, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 938, 736, 695 is 1
GCD(82, 938, 736, 695) = 1
Given Input numbers are 82, 938, 736, 695
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 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 82, 938, 736, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 938, 736, 695 is 1.
Therefore, GCD of numbers 82, 938, 736, 695 is 1
Given Input Data is 82, 938, 736, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 695 is 5 x 139
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, 938) = 38458
GCD(82, 938) = ( 82 x 938 ) / 38458
GCD(82, 938) = 76916 / 38458
GCD(82, 938) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 736) = 736
GCD(2, 736) = ( 2 x 736 ) / 736
GCD(2, 736) = 1472 / 736
GCD(2, 736) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 695) = 1390
GCD(2, 695) = ( 2 x 695 ) / 1390
GCD(2, 695) = 1390 / 1390
GCD(2, 695) = 1
GCD of 82, 938, 736, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 938, 736, 695?
GCD of 82, 938, 736, 695 is 1
2. Where do I get the detailed procedure to find GCD of 82, 938, 736, 695?
You can find a detailed procedure to find GCD of 82, 938, 736, 695 on our page.
3. How to find GCD of 82, 938, 736, 695 on a calculator?
You can find the GCD of 82, 938, 736, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.