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 341, 706, 120, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 341, 706, 120, 252 is 1
GCD(341, 706, 120, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 341, 706, 120, 252 is 1
GCD(341, 706, 120, 252) = 1
Given Input numbers are 341, 706, 120, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greatest Common Divisior
We found the divisors of 341, 706, 120, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 706, 120, 252 is 1.
Therefore, GCD of numbers 341, 706, 120, 252 is 1
Given Input Data is 341, 706, 120, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 341 is 11 x 31
Prime Factorization of 706 is 2 x 353
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 252 is 2 x 2 x 3 x 3 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(341, 706) = 240746
GCD(341, 706) = ( 341 x 706 ) / 240746
GCD(341, 706) = 240746 / 240746
GCD(341, 706) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
GCD of 341, 706, 120, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 341, 706, 120, 252?
GCD of 341, 706, 120, 252 is 1
2. Where do I get the detailed procedure to find GCD of 341, 706, 120, 252?
You can find a detailed procedure to find GCD of 341, 706, 120, 252 on our page.
3. How to find GCD of 341, 706, 120, 252 on a calculator?
You can find the GCD of 341, 706, 120, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.