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 130, 693, 435, 706 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 693, 435, 706 is 1
GCD(130, 693, 435, 706) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 693, 435, 706 is 1
GCD(130, 693, 435, 706) = 1
Given Input numbers are 130, 693, 435, 706
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
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 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 130, 693, 435, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 693, 435, 706 is 1.
Therefore, GCD of numbers 130, 693, 435, 706 is 1
Given Input Data is 130, 693, 435, 706
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 706 is 2 x 353
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(130, 693) = 90090
GCD(130, 693) = ( 130 x 693 ) / 90090
GCD(130, 693) = 90090 / 90090
GCD(130, 693) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
GCD(1, 706) = 706 / 706
GCD(1, 706) = 1
GCD of 130, 693, 435, 706 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 693, 435, 706?
GCD of 130, 693, 435, 706 is 1
2. Where do I get the detailed procedure to find GCD of 130, 693, 435, 706?
You can find a detailed procedure to find GCD of 130, 693, 435, 706 on our page.
3. How to find GCD of 130, 693, 435, 706 on a calculator?
You can find the GCD of 130, 693, 435, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.