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 278, 117, 73, 803 i.e. 1 largest integer that divides all the numbers equally.
GCD of 278, 117, 73, 803 is 1
GCD(278, 117, 73, 803) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 278, 117, 73, 803 is 1
GCD(278, 117, 73, 803) = 1
Given Input numbers are 278, 117, 73, 803
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Greatest Common Divisior
We found the divisors of 278, 117, 73, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 117, 73, 803 is 1.
Therefore, GCD of numbers 278, 117, 73, 803 is 1
Given Input Data is 278, 117, 73, 803
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 278 is 2 x 139
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 73 is 73
Prime Factorization of 803 is 11 x 73
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(278, 117) = 32526
GCD(278, 117) = ( 278 x 117 ) / 32526
GCD(278, 117) = 32526 / 32526
GCD(278, 117) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 803) = 803
GCD(1, 803) = ( 1 x 803 ) / 803
GCD(1, 803) = 803 / 803
GCD(1, 803) = 1
GCD of 278, 117, 73, 803 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 278, 117, 73, 803?
GCD of 278, 117, 73, 803 is 1
2. Where do I get the detailed procedure to find GCD of 278, 117, 73, 803?
You can find a detailed procedure to find GCD of 278, 117, 73, 803 on our page.
3. How to find GCD of 278, 117, 73, 803 on a calculator?
You can find the GCD of 278, 117, 73, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.