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 807, 178, 103, 338 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 178, 103, 338 is 1
GCD(807, 178, 103, 338) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 178, 103, 338 is 1
GCD(807, 178, 103, 338) = 1
Given Input numbers are 807, 178, 103, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 807, 178, 103, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 178, 103, 338 is 1.
Therefore, GCD of numbers 807, 178, 103, 338 is 1
Given Input Data is 807, 178, 103, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 178 is 2 x 89
Prime Factorization of 103 is 103
Prime Factorization of 338 is 2 x 13 x 13
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(807, 178) = 143646
GCD(807, 178) = ( 807 x 178 ) / 143646
GCD(807, 178) = 143646 / 143646
GCD(807, 178) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
GCD of 807, 178, 103, 338 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 178, 103, 338?
GCD of 807, 178, 103, 338 is 1
2. Where do I get the detailed procedure to find GCD of 807, 178, 103, 338?
You can find a detailed procedure to find GCD of 807, 178, 103, 338 on our page.
3. How to find GCD of 807, 178, 103, 338 on a calculator?
You can find the GCD of 807, 178, 103, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.