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, 897, 310, 423 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 897, 310, 423 is 1
GCD(140, 897, 310, 423) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 897, 310, 423 is 1
GCD(140, 897, 310, 423) = 1
Given Input numbers are 140, 897, 310, 423
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 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Greatest Common Divisior
We found the divisors of 140, 897, 310, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 897, 310, 423 is 1.
Therefore, GCD of numbers 140, 897, 310, 423 is 1
Given Input Data is 140, 897, 310, 423
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 897 is 3 x 13 x 23
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 423 is 3 x 3 x 47
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, 897) = 125580
GCD(140, 897) = ( 140 x 897 ) / 125580
GCD(140, 897) = 125580 / 125580
GCD(140, 897) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
GCD(1, 423) = 423 / 423
GCD(1, 423) = 1
GCD of 140, 897, 310, 423 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 897, 310, 423?
GCD of 140, 897, 310, 423 is 1
2. Where do I get the detailed procedure to find GCD of 140, 897, 310, 423?
You can find a detailed procedure to find GCD of 140, 897, 310, 423 on our page.
3. How to find GCD of 140, 897, 310, 423 on a calculator?
You can find the GCD of 140, 897, 310, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.