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 348, 411, 64, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 348, 411, 64, 565 is 1
GCD(348, 411, 64, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 348, 411, 64, 565 is 1
GCD(348, 411, 64, 565) = 1
Given Input numbers are 348, 411, 64, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 348, 411, 64, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 411, 64, 565 is 1.
Therefore, GCD of numbers 348, 411, 64, 565 is 1
Given Input Data is 348, 411, 64, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 411 is 3 x 137
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 565 is 5 x 113
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(348, 411) = 47676
GCD(348, 411) = ( 348 x 411 ) / 47676
GCD(348, 411) = 143028 / 47676
GCD(348, 411) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 64) = 192
GCD(3, 64) = ( 3 x 64 ) / 192
GCD(3, 64) = 192 / 192
GCD(3, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 348, 411, 64, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 348, 411, 64, 565?
GCD of 348, 411, 64, 565 is 1
2. Where do I get the detailed procedure to find GCD of 348, 411, 64, 565?
You can find a detailed procedure to find GCD of 348, 411, 64, 565 on our page.
3. How to find GCD of 348, 411, 64, 565 on a calculator?
You can find the GCD of 348, 411, 64, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.