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, 894, 181, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 894, 181, 124 is 1
GCD(140, 894, 181, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 894, 181, 124 is 1
GCD(140, 894, 181, 124) = 1
Given Input numbers are 140, 894, 181, 124
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 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 140, 894, 181, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 894, 181, 124 is 1.
Therefore, GCD of numbers 140, 894, 181, 124 is 1
Given Input Data is 140, 894, 181, 124
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 894 is 2 x 3 x 149
Prime Factorization of 181 is 181
Prime Factorization of 124 is 2 x 2 x 31
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, 894) = 62580
GCD(140, 894) = ( 140 x 894 ) / 62580
GCD(140, 894) = 125160 / 62580
GCD(140, 894) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 181) = 362
GCD(2, 181) = ( 2 x 181 ) / 362
GCD(2, 181) = 362 / 362
GCD(2, 181) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 140, 894, 181, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 894, 181, 124?
GCD of 140, 894, 181, 124 is 1
2. Where do I get the detailed procedure to find GCD of 140, 894, 181, 124?
You can find a detailed procedure to find GCD of 140, 894, 181, 124 on our page.
3. How to find GCD of 140, 894, 181, 124 on a calculator?
You can find the GCD of 140, 894, 181, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.