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 705, 338, 274, 803 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 338, 274, 803 is 1
GCD(705, 338, 274, 803) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 338, 274, 803 is 1
GCD(705, 338, 274, 803) = 1
Given Input numbers are 705, 338, 274, 803
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
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 705, 338, 274, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 338, 274, 803 is 1.
Therefore, GCD of numbers 705, 338, 274, 803 is 1
Given Input Data is 705, 338, 274, 803
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 274 is 2 x 137
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(705, 338) = 238290
GCD(705, 338) = ( 705 x 338 ) / 238290
GCD(705, 338) = 238290 / 238290
GCD(705, 338) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 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 705, 338, 274, 803 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 338, 274, 803?
GCD of 705, 338, 274, 803 is 1
2. Where do I get the detailed procedure to find GCD of 705, 338, 274, 803?
You can find a detailed procedure to find GCD of 705, 338, 274, 803 on our page.
3. How to find GCD of 705, 338, 274, 803 on a calculator?
You can find the GCD of 705, 338, 274, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.