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 441, 334, 109, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 441, 334, 109, 701 is 1
GCD(441, 334, 109, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 441, 334, 109, 701 is 1
GCD(441, 334, 109, 701) = 1
Given Input numbers are 441, 334, 109, 701
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 441, 334, 109, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 334, 109, 701 is 1.
Therefore, GCD of numbers 441, 334, 109, 701 is 1
Given Input Data is 441, 334, 109, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 334 is 2 x 167
Prime Factorization of 109 is 109
Prime Factorization of 701 is 701
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(441, 334) = 147294
GCD(441, 334) = ( 441 x 334 ) / 147294
GCD(441, 334) = 147294 / 147294
GCD(441, 334) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 441, 334, 109, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 441, 334, 109, 701?
GCD of 441, 334, 109, 701 is 1
2. Where do I get the detailed procedure to find GCD of 441, 334, 109, 701?
You can find a detailed procedure to find GCD of 441, 334, 109, 701 on our page.
3. How to find GCD of 441, 334, 109, 701 on a calculator?
You can find the GCD of 441, 334, 109, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.