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 107, 524, 44, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 524, 44, 434 is 1
GCD(107, 524, 44, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 524, 44, 434 is 1
GCD(107, 524, 44, 434) = 1
Given Input numbers are 107, 524, 44, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
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 107, 524, 44, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 524, 44, 434 is 1.
Therefore, GCD of numbers 107, 524, 44, 434 is 1
Given Input Data is 107, 524, 44, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 44 is 2 x 2 x 11
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(107, 524) = 56068
GCD(107, 524) = ( 107 x 524 ) / 56068
GCD(107, 524) = 56068 / 56068
GCD(107, 524) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 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 107, 524, 44, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 524, 44, 434?
GCD of 107, 524, 44, 434 is 1
2. Where do I get the detailed procedure to find GCD of 107, 524, 44, 434?
You can find a detailed procedure to find GCD of 107, 524, 44, 434 on our page.
3. How to find GCD of 107, 524, 44, 434 on a calculator?
You can find the GCD of 107, 524, 44, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.