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 249, 707, 146, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 707, 146, 349 is 1
GCD(249, 707, 146, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 707, 146, 349 is 1
GCD(249, 707, 146, 349) = 1
Given Input numbers are 249, 707, 146, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 249, 707, 146, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 707, 146, 349 is 1.
Therefore, GCD of numbers 249, 707, 146, 349 is 1
Given Input Data is 249, 707, 146, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 707 is 7 x 101
Prime Factorization of 146 is 2 x 73
Prime Factorization of 349 is 349
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(249, 707) = 176043
GCD(249, 707) = ( 249 x 707 ) / 176043
GCD(249, 707) = 176043 / 176043
GCD(249, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 249, 707, 146, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 707, 146, 349?
GCD of 249, 707, 146, 349 is 1
2. Where do I get the detailed procedure to find GCD of 249, 707, 146, 349?
You can find a detailed procedure to find GCD of 249, 707, 146, 349 on our page.
3. How to find GCD of 249, 707, 146, 349 on a calculator?
You can find the GCD of 249, 707, 146, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.