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 680, 962, 27, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 962, 27, 337 is 1
GCD(680, 962, 27, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 962, 27, 337 is 1
GCD(680, 962, 27, 337) = 1
Given Input numbers are 680, 962, 27, 337
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 680, 962, 27, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 962, 27, 337 is 1.
Therefore, GCD of numbers 680, 962, 27, 337 is 1
Given Input Data is 680, 962, 27, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 337 is 337
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(680, 962) = 327080
GCD(680, 962) = ( 680 x 962 ) / 327080
GCD(680, 962) = 654160 / 327080
GCD(680, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 27) = 54
GCD(2, 27) = ( 2 x 27 ) / 54
GCD(2, 27) = 54 / 54
GCD(2, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
GCD of 680, 962, 27, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 962, 27, 337?
GCD of 680, 962, 27, 337 is 1
2. Where do I get the detailed procedure to find GCD of 680, 962, 27, 337?
You can find a detailed procedure to find GCD of 680, 962, 27, 337 on our page.
3. How to find GCD of 680, 962, 27, 337 on a calculator?
You can find the GCD of 680, 962, 27, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.