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 614, 472, 245, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 614, 472, 245, 701 is 1
GCD(614, 472, 245, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 614, 472, 245, 701 is 1
GCD(614, 472, 245, 701) = 1
Given Input numbers are 614, 472, 245, 701
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
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 614, 472, 245, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 472, 245, 701 is 1.
Therefore, GCD of numbers 614, 472, 245, 701 is 1
Given Input Data is 614, 472, 245, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 614 is 2 x 307
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 245 is 5 x 7 x 7
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(614, 472) = 144904
GCD(614, 472) = ( 614 x 472 ) / 144904
GCD(614, 472) = 289808 / 144904
GCD(614, 472) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 245) = 490
GCD(2, 245) = ( 2 x 245 ) / 490
GCD(2, 245) = 490 / 490
GCD(2, 245) = 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 614, 472, 245, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 614, 472, 245, 701?
GCD of 614, 472, 245, 701 is 1
2. Where do I get the detailed procedure to find GCD of 614, 472, 245, 701?
You can find a detailed procedure to find GCD of 614, 472, 245, 701 on our page.
3. How to find GCD of 614, 472, 245, 701 on a calculator?
You can find the GCD of 614, 472, 245, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.