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 109, 352, 78, 448 i.e. 1 largest integer that divides all the numbers equally.
GCD of 109, 352, 78, 448 is 1
GCD(109, 352, 78, 448) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 109, 352, 78, 448 is 1
GCD(109, 352, 78, 448) = 1
Given Input numbers are 109, 352, 78, 448
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
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 109, 352, 78, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 352, 78, 448 is 1.
Therefore, GCD of numbers 109, 352, 78, 448 is 1
Given Input Data is 109, 352, 78, 448
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 109 is 109
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 78 is 2 x 3 x 13
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(109, 352) = 38368
GCD(109, 352) = ( 109 x 352 ) / 38368
GCD(109, 352) = 38368 / 38368
GCD(109, 352) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 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 109, 352, 78, 448 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 109, 352, 78, 448?
GCD of 109, 352, 78, 448 is 1
2. Where do I get the detailed procedure to find GCD of 109, 352, 78, 448?
You can find a detailed procedure to find GCD of 109, 352, 78, 448 on our page.
3. How to find GCD of 109, 352, 78, 448 on a calculator?
You can find the GCD of 109, 352, 78, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.