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 682, 135, 74, 211 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 135, 74, 211 is 1
GCD(682, 135, 74, 211) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 135, 74, 211 is 1
GCD(682, 135, 74, 211) = 1
Given Input numbers are 682, 135, 74, 211
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Greatest Common Divisior
We found the divisors of 682, 135, 74, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 135, 74, 211 is 1.
Therefore, GCD of numbers 682, 135, 74, 211 is 1
Given Input Data is 682, 135, 74, 211
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 74 is 2 x 37
Prime Factorization of 211 is 211
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(682, 135) = 92070
GCD(682, 135) = ( 682 x 135 ) / 92070
GCD(682, 135) = 92070 / 92070
GCD(682, 135) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 211) = 211
GCD(1, 211) = ( 1 x 211 ) / 211
GCD(1, 211) = 211 / 211
GCD(1, 211) = 1
GCD of 682, 135, 74, 211 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 135, 74, 211?
GCD of 682, 135, 74, 211 is 1
2. Where do I get the detailed procedure to find GCD of 682, 135, 74, 211?
You can find a detailed procedure to find GCD of 682, 135, 74, 211 on our page.
3. How to find GCD of 682, 135, 74, 211 on a calculator?
You can find the GCD of 682, 135, 74, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.