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 429, 229, 395, 870 i.e. 1 largest integer that divides all the numbers equally.
GCD of 429, 229, 395, 870 is 1
GCD(429, 229, 395, 870) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 429, 229, 395, 870 is 1
GCD(429, 229, 395, 870) = 1
Given Input numbers are 429, 229, 395, 870
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Greatest Common Divisior
We found the divisors of 429, 229, 395, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 229, 395, 870 is 1.
Therefore, GCD of numbers 429, 229, 395, 870 is 1
Given Input Data is 429, 229, 395, 870
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 229 is 229
Prime Factorization of 395 is 5 x 79
Prime Factorization of 870 is 2 x 3 x 5 x 29
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(429, 229) = 98241
GCD(429, 229) = ( 429 x 229 ) / 98241
GCD(429, 229) = 98241 / 98241
GCD(429, 229) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
GCD(1, 870) = 870 / 870
GCD(1, 870) = 1
GCD of 429, 229, 395, 870 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 429, 229, 395, 870?
GCD of 429, 229, 395, 870 is 1
2. Where do I get the detailed procedure to find GCD of 429, 229, 395, 870?
You can find a detailed procedure to find GCD of 429, 229, 395, 870 on our page.
3. How to find GCD of 429, 229, 395, 870 on a calculator?
You can find the GCD of 429, 229, 395, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.