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 527, 476, 79, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 527, 476, 79, 434 is 1
GCD(527, 476, 79, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 527, 476, 79, 434 is 1
GCD(527, 476, 79, 434) = 1
Given Input numbers are 527, 476, 79, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 527, 476, 79, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 476, 79, 434 is 1.
Therefore, GCD of numbers 527, 476, 79, 434 is 1
Given Input Data is 527, 476, 79, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 527 is 17 x 31
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 79 is 79
Prime Factorization of 434 is 2 x 7 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(527, 476) = 14756
GCD(527, 476) = ( 527 x 476 ) / 14756
GCD(527, 476) = 250852 / 14756
GCD(527, 476) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 79) = 1343
GCD(17, 79) = ( 17 x 79 ) / 1343
GCD(17, 79) = 1343 / 1343
GCD(17, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 527, 476, 79, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 527, 476, 79, 434?
GCD of 527, 476, 79, 434 is 1
2. Where do I get the detailed procedure to find GCD of 527, 476, 79, 434?
You can find a detailed procedure to find GCD of 527, 476, 79, 434 on our page.
3. How to find GCD of 527, 476, 79, 434 on a calculator?
You can find the GCD of 527, 476, 79, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.