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 385, 341, 42, 532 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 341, 42, 532 is 1
GCD(385, 341, 42, 532) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 341, 42, 532 is 1
GCD(385, 341, 42, 532) = 1
Given Input numbers are 385, 341, 42, 532
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
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
Greatest Common Divisior
We found the divisors of 385, 341, 42, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 341, 42, 532 is 1.
Therefore, GCD of numbers 385, 341, 42, 532 is 1
Given Input Data is 385, 341, 42, 532
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 341 is 11 x 31
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 532 is 2 x 2 x 7 x 19
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(385, 341) = 11935
GCD(385, 341) = ( 385 x 341 ) / 11935
GCD(385, 341) = 131285 / 11935
GCD(385, 341) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 42) = 462
GCD(11, 42) = ( 11 x 42 ) / 462
GCD(11, 42) = 462 / 462
GCD(11, 42) = 1
Step3:
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
GCD of 385, 341, 42, 532 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 341, 42, 532?
GCD of 385, 341, 42, 532 is 1
2. Where do I get the detailed procedure to find GCD of 385, 341, 42, 532?
You can find a detailed procedure to find GCD of 385, 341, 42, 532 on our page.
3. How to find GCD of 385, 341, 42, 532 on a calculator?
You can find the GCD of 385, 341, 42, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.