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, 128, 136, 341 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 128, 136, 341 is 1
GCD(140, 128, 136, 341) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 128, 136, 341 is 1
GCD(140, 128, 136, 341) = 1
Given Input numbers are 140, 128, 136, 341
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 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Greatest Common Divisior
We found the divisors of 140, 128, 136, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 128, 136, 341 is 1.
Therefore, GCD of numbers 140, 128, 136, 341 is 1
Given Input Data is 140, 128, 136, 341
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 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 341 is 11 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, 128) = 4480
GCD(140, 128) = ( 140 x 128 ) / 4480
GCD(140, 128) = 17920 / 4480
GCD(140, 128) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 136) = 136
GCD(4, 136) = ( 4 x 136 ) / 136
GCD(4, 136) = 544 / 136
GCD(4, 136) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 341) = 1364
GCD(4, 341) = ( 4 x 341 ) / 1364
GCD(4, 341) = 1364 / 1364
GCD(4, 341) = 1
GCD of 140, 128, 136, 341 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 128, 136, 341?
GCD of 140, 128, 136, 341 is 1
2. Where do I get the detailed procedure to find GCD of 140, 128, 136, 341?
You can find a detailed procedure to find GCD of 140, 128, 136, 341 on our page.
3. How to find GCD of 140, 128, 136, 341 on a calculator?
You can find the GCD of 140, 128, 136, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.