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, 183, 295, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 183, 295, 154 is 1
GCD(140, 183, 295, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 183, 295, 154 is 1
GCD(140, 183, 295, 154) = 1
Given Input numbers are 140, 183, 295, 154
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 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 140, 183, 295, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 183, 295, 154 is 1.
Therefore, GCD of numbers 140, 183, 295, 154 is 1
Given Input Data is 140, 183, 295, 154
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 183 is 3 x 61
Prime Factorization of 295 is 5 x 59
Prime Factorization of 154 is 2 x 7 x 11
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, 183) = 25620
GCD(140, 183) = ( 140 x 183 ) / 25620
GCD(140, 183) = 25620 / 25620
GCD(140, 183) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 295) = 295
GCD(1, 295) = ( 1 x 295 ) / 295
GCD(1, 295) = 295 / 295
GCD(1, 295) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 140, 183, 295, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 183, 295, 154?
GCD of 140, 183, 295, 154 is 1
2. Where do I get the detailed procedure to find GCD of 140, 183, 295, 154?
You can find a detailed procedure to find GCD of 140, 183, 295, 154 on our page.
3. How to find GCD of 140, 183, 295, 154 on a calculator?
You can find the GCD of 140, 183, 295, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.