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 896, 678, 321, 348 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 678, 321, 348 is 1
GCD(896, 678, 321, 348) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 678, 321, 348 is 1
GCD(896, 678, 321, 348) = 1
Given Input numbers are 896, 678, 321, 348
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
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
Greatest Common Divisior
We found the divisors of 896, 678, 321, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 678, 321, 348 is 1.
Therefore, GCD of numbers 896, 678, 321, 348 is 1
Given Input Data is 896, 678, 321, 348
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 321 is 3 x 107
Prime Factorization of 348 is 2 x 2 x 3 x 29
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(896, 678) = 303744
GCD(896, 678) = ( 896 x 678 ) / 303744
GCD(896, 678) = 607488 / 303744
GCD(896, 678) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 321) = 642
GCD(2, 321) = ( 2 x 321 ) / 642
GCD(2, 321) = 642 / 642
GCD(2, 321) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
GCD of 896, 678, 321, 348 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 896, 678, 321, 348?
GCD of 896, 678, 321, 348 is 1
2. Where do I get the detailed procedure to find GCD of 896, 678, 321, 348?
You can find a detailed procedure to find GCD of 896, 678, 321, 348 on our page.
3. How to find GCD of 896, 678, 321, 348 on a calculator?
You can find the GCD of 896, 678, 321, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.