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 858, 429, 523, 527 i.e. 1 largest integer that divides all the numbers equally.
GCD of 858, 429, 523, 527 is 1
GCD(858, 429, 523, 527) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 858, 429, 523, 527 is 1
GCD(858, 429, 523, 527) = 1
Given Input numbers are 858, 429, 523, 527
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
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 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Greatest Common Divisior
We found the divisors of 858, 429, 523, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 429, 523, 527 is 1.
Therefore, GCD of numbers 858, 429, 523, 527 is 1
Given Input Data is 858, 429, 523, 527
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 523 is 523
Prime Factorization of 527 is 17 x 31
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(858, 429) = 858
GCD(858, 429) = ( 858 x 429 ) / 858
GCD(858, 429) = 368082 / 858
GCD(858, 429) = 429
Step2:
Here we consider the GCD from the above i.e. 429 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(429, 523) = 224367
GCD(429, 523) = ( 429 x 523 ) / 224367
GCD(429, 523) = 224367 / 224367
GCD(429, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 527) = 527
GCD(1, 527) = ( 1 x 527 ) / 527
GCD(1, 527) = 527 / 527
GCD(1, 527) = 1
GCD of 858, 429, 523, 527 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 858, 429, 523, 527?
GCD of 858, 429, 523, 527 is 1
2. Where do I get the detailed procedure to find GCD of 858, 429, 523, 527?
You can find a detailed procedure to find GCD of 858, 429, 523, 527 on our page.
3. How to find GCD of 858, 429, 523, 527 on a calculator?
You can find the GCD of 858, 429, 523, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.