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 240, 737, 709, 294 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 737, 709, 294 is 1
GCD(240, 737, 709, 294) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 737, 709, 294 is 1
GCD(240, 737, 709, 294) = 1
Given Input numbers are 240, 737, 709, 294
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Greatest Common Divisior
We found the divisors of 240, 737, 709, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 737, 709, 294 is 1.
Therefore, GCD of numbers 240, 737, 709, 294 is 1
Given Input Data is 240, 737, 709, 294
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 737 is 11 x 67
Prime Factorization of 709 is 709
Prime Factorization of 294 is 2 x 3 x 7 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(240, 737) = 176880
GCD(240, 737) = ( 240 x 737 ) / 176880
GCD(240, 737) = 176880 / 176880
GCD(240, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
GCD(1, 709) = 709 / 709
GCD(1, 709) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 294) = 294
GCD(1, 294) = ( 1 x 294 ) / 294
GCD(1, 294) = 294 / 294
GCD(1, 294) = 1
GCD of 240, 737, 709, 294 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 737, 709, 294?
GCD of 240, 737, 709, 294 is 1
2. Where do I get the detailed procedure to find GCD of 240, 737, 709, 294?
You can find a detailed procedure to find GCD of 240, 737, 709, 294 on our page.
3. How to find GCD of 240, 737, 709, 294 on a calculator?
You can find the GCD of 240, 737, 709, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.