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 140, 611, 344, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 611, 344, 725 is 1
GCD(140, 611, 344, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 611, 344, 725 is 1
GCD(140, 611, 344, 725) = 1
Given Input numbers are 140, 611, 344, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Greatest Common Divisior
We found the divisors of 140, 611, 344, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 611, 344, 725 is 1.
Therefore, GCD of numbers 140, 611, 344, 725 is 1
Given Input Data is 140, 611, 344, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 611 is 13 x 47
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 725 is 5 x 5 x 29
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(140, 611) = 85540
GCD(140, 611) = ( 140 x 611 ) / 85540
GCD(140, 611) = 85540 / 85540
GCD(140, 611) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
GCD of 140, 611, 344, 725 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 611, 344, 725?
GCD of 140, 611, 344, 725 is 1
2. Where do I get the detailed procedure to find GCD of 140, 611, 344, 725?
You can find a detailed procedure to find GCD of 140, 611, 344, 725 on our page.
3. How to find GCD of 140, 611, 344, 725 on a calculator?
You can find the GCD of 140, 611, 344, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.