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 691, 210, 135, 656 i.e. 1 largest integer that divides all the numbers equally.
GCD of 691, 210, 135, 656 is 1
GCD(691, 210, 135, 656) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 691, 210, 135, 656 is 1
GCD(691, 210, 135, 656) = 1
Given Input numbers are 691, 210, 135, 656
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Greatest Common Divisior
We found the divisors of 691, 210, 135, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 210, 135, 656 is 1.
Therefore, GCD of numbers 691, 210, 135, 656 is 1
Given Input Data is 691, 210, 135, 656
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 691 is 691
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
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(691, 210) = 145110
GCD(691, 210) = ( 691 x 210 ) / 145110
GCD(691, 210) = 145110 / 145110
GCD(691, 210) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
GCD(1, 656) = 656 / 656
GCD(1, 656) = 1
GCD of 691, 210, 135, 656 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 691, 210, 135, 656?
GCD of 691, 210, 135, 656 is 1
2. Where do I get the detailed procedure to find GCD of 691, 210, 135, 656?
You can find a detailed procedure to find GCD of 691, 210, 135, 656 on our page.
3. How to find GCD of 691, 210, 135, 656 on a calculator?
You can find the GCD of 691, 210, 135, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.