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, 426, 503, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 426, 503, 384 is 1
GCD(140, 426, 503, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 426, 503, 384 is 1
GCD(140, 426, 503, 384) = 1
Given Input numbers are 140, 426, 503, 384
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 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 140, 426, 503, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 426, 503, 384 is 1.
Therefore, GCD of numbers 140, 426, 503, 384 is 1
Given Input Data is 140, 426, 503, 384
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 426 is 2 x 3 x 71
Prime Factorization of 503 is 503
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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, 426) = 29820
GCD(140, 426) = ( 140 x 426 ) / 29820
GCD(140, 426) = 59640 / 29820
GCD(140, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 503) = 1006
GCD(2, 503) = ( 2 x 503 ) / 1006
GCD(2, 503) = 1006 / 1006
GCD(2, 503) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 140, 426, 503, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 426, 503, 384?
GCD of 140, 426, 503, 384 is 1
2. Where do I get the detailed procedure to find GCD of 140, 426, 503, 384?
You can find a detailed procedure to find GCD of 140, 426, 503, 384 on our page.
3. How to find GCD of 140, 426, 503, 384 on a calculator?
You can find the GCD of 140, 426, 503, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.