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 342, 833, 46, 448 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 833, 46, 448 is 1
GCD(342, 833, 46, 448) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 833, 46, 448 is 1
GCD(342, 833, 46, 448) = 1
Given Input numbers are 342, 833, 46, 448
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Greatest Common Divisior
We found the divisors of 342, 833, 46, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 833, 46, 448 is 1.
Therefore, GCD of numbers 342, 833, 46, 448 is 1
Given Input Data is 342, 833, 46, 448
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 833 is 7 x 7 x 17
Prime Factorization of 46 is 2 x 23
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
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(342, 833) = 284886
GCD(342, 833) = ( 342 x 833 ) / 284886
GCD(342, 833) = 284886 / 284886
GCD(342, 833) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
GCD of 342, 833, 46, 448 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 833, 46, 448?
GCD of 342, 833, 46, 448 is 1
2. Where do I get the detailed procedure to find GCD of 342, 833, 46, 448?
You can find a detailed procedure to find GCD of 342, 833, 46, 448 on our page.
3. How to find GCD of 342, 833, 46, 448 on a calculator?
You can find the GCD of 342, 833, 46, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.