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, 737, 118, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 737, 118, 555 is 1
GCD(682, 737, 118, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 737, 118, 555 is 1
GCD(682, 737, 118, 555) = 1
Given Input numbers are 682, 737, 118, 555
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 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 682, 737, 118, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 737, 118, 555 is 1.
Therefore, GCD of numbers 682, 737, 118, 555 is 1
Given Input Data is 682, 737, 118, 555
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 737 is 11 x 67
Prime Factorization of 118 is 2 x 59
Prime Factorization of 555 is 3 x 5 x 37
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, 737) = 45694
GCD(682, 737) = ( 682 x 737 ) / 45694
GCD(682, 737) = 502634 / 45694
GCD(682, 737) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 118) = 1298
GCD(11, 118) = ( 11 x 118 ) / 1298
GCD(11, 118) = 1298 / 1298
GCD(11, 118) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 555) = 555
GCD(1, 555) = ( 1 x 555 ) / 555
GCD(1, 555) = 555 / 555
GCD(1, 555) = 1
GCD of 682, 737, 118, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 737, 118, 555?
GCD of 682, 737, 118, 555 is 1
2. Where do I get the detailed procedure to find GCD of 682, 737, 118, 555?
You can find a detailed procedure to find GCD of 682, 737, 118, 555 on our page.
3. How to find GCD of 682, 737, 118, 555 on a calculator?
You can find the GCD of 682, 737, 118, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.