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 264, 686, 435, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 686, 435, 655 is 1
GCD(264, 686, 435, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 686, 435, 655 is 1
GCD(264, 686, 435, 655) = 1
Given Input numbers are 264, 686, 435, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 264, 686, 435, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 686, 435, 655 is 1.
Therefore, GCD of numbers 264, 686, 435, 655 is 1
Given Input Data is 264, 686, 435, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 655 is 5 x 131
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(264, 686) = 90552
GCD(264, 686) = ( 264 x 686 ) / 90552
GCD(264, 686) = 181104 / 90552
GCD(264, 686) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 435) = 870
GCD(2, 435) = ( 2 x 435 ) / 870
GCD(2, 435) = 870 / 870
GCD(2, 435) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 264, 686, 435, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 686, 435, 655?
GCD of 264, 686, 435, 655 is 1
2. Where do I get the detailed procedure to find GCD of 264, 686, 435, 655?
You can find a detailed procedure to find GCD of 264, 686, 435, 655 on our page.
3. How to find GCD of 264, 686, 435, 655 on a calculator?
You can find the GCD of 264, 686, 435, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.