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 129, 930, 700, 436 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 930, 700, 436 is 1
GCD(129, 930, 700, 436) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 930, 700, 436 is 1
GCD(129, 930, 700, 436) = 1
Given Input numbers are 129, 930, 700, 436
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Greatest Common Divisior
We found the divisors of 129, 930, 700, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 930, 700, 436 is 1.
Therefore, GCD of numbers 129, 930, 700, 436 is 1
Given Input Data is 129, 930, 700, 436
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 436 is 2 x 2 x 109
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(129, 930) = 39990
GCD(129, 930) = ( 129 x 930 ) / 39990
GCD(129, 930) = 119970 / 39990
GCD(129, 930) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 700) = 2100
GCD(3, 700) = ( 3 x 700 ) / 2100
GCD(3, 700) = 2100 / 2100
GCD(3, 700) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
GCD of 129, 930, 700, 436 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 930, 700, 436?
GCD of 129, 930, 700, 436 is 1
2. Where do I get the detailed procedure to find GCD of 129, 930, 700, 436?
You can find a detailed procedure to find GCD of 129, 930, 700, 436 on our page.
3. How to find GCD of 129, 930, 700, 436 on a calculator?
You can find the GCD of 129, 930, 700, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.