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, 434, 532, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 434, 532, 707 is 1
GCD(129, 434, 532, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 434, 532, 707 is 1
GCD(129, 434, 532, 707) = 1
Given Input numbers are 129, 434, 532, 707
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 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 129, 434, 532, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 434, 532, 707 is 1.
Therefore, GCD of numbers 129, 434, 532, 707 is 1
Given Input Data is 129, 434, 532, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 707 is 7 x 101
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, 434) = 55986
GCD(129, 434) = ( 129 x 434 ) / 55986
GCD(129, 434) = 55986 / 55986
GCD(129, 434) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 129, 434, 532, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 434, 532, 707?
GCD of 129, 434, 532, 707 is 1
2. Where do I get the detailed procedure to find GCD of 129, 434, 532, 707?
You can find a detailed procedure to find GCD of 129, 434, 532, 707 on our page.
3. How to find GCD of 129, 434, 532, 707 on a calculator?
You can find the GCD of 129, 434, 532, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.