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, 347, 413, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 347, 413, 553 is 1
GCD(385, 347, 413, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 347, 413, 553 is 1
GCD(385, 347, 413, 553) = 1
Given Input numbers are 385, 347, 413, 553
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 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 385, 347, 413, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 347, 413, 553 is 1.
Therefore, GCD of numbers 385, 347, 413, 553 is 1
Given Input Data is 385, 347, 413, 553
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 347 is 347
Prime Factorization of 413 is 7 x 59
Prime Factorization of 553 is 7 x 79
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, 347) = 133595
GCD(385, 347) = ( 385 x 347 ) / 133595
GCD(385, 347) = 133595 / 133595
GCD(385, 347) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
GCD(1, 413) = 413 / 413
GCD(1, 413) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
GCD of 385, 347, 413, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 347, 413, 553?
GCD of 385, 347, 413, 553 is 1
2. Where do I get the detailed procedure to find GCD of 385, 347, 413, 553?
You can find a detailed procedure to find GCD of 385, 347, 413, 553 on our page.
3. How to find GCD of 385, 347, 413, 553 on a calculator?
You can find the GCD of 385, 347, 413, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.