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 146, 160, 57, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 146, 160, 57, 143 is 1
GCD(146, 160, 57, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 146, 160, 57, 143 is 1
GCD(146, 160, 57, 143) = 1
Given Input numbers are 146, 160, 57, 143
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 146, 160, 57, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 160, 57, 143 is 1.
Therefore, GCD of numbers 146, 160, 57, 143 is 1
Given Input Data is 146, 160, 57, 143
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 146 is 2 x 73
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 57 is 3 x 19
Prime Factorization of 143 is 11 x 13
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(146, 160) = 11680
GCD(146, 160) = ( 146 x 160 ) / 11680
GCD(146, 160) = 23360 / 11680
GCD(146, 160) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 146, 160, 57, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 146, 160, 57, 143?
GCD of 146, 160, 57, 143 is 1
2. Where do I get the detailed procedure to find GCD of 146, 160, 57, 143?
You can find a detailed procedure to find GCD of 146, 160, 57, 143 on our page.
3. How to find GCD of 146, 160, 57, 143 on a calculator?
You can find the GCD of 146, 160, 57, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.