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 143, 431, 380, 967 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 431, 380, 967 is 1
GCD(143, 431, 380, 967) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 431, 380, 967 is 1
GCD(143, 431, 380, 967) = 1
Given Input numbers are 143, 431, 380, 967
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Greatest Common Divisior
We found the divisors of 143, 431, 380, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 431, 380, 967 is 1.
Therefore, GCD of numbers 143, 431, 380, 967 is 1
Given Input Data is 143, 431, 380, 967
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 431 is 431
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 967 is 967
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(143, 431) = 61633
GCD(143, 431) = ( 143 x 431 ) / 61633
GCD(143, 431) = 61633 / 61633
GCD(143, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
GCD(1, 967) = 967 / 967
GCD(1, 967) = 1
GCD of 143, 431, 380, 967 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 431, 380, 967?
GCD of 143, 431, 380, 967 is 1
2. Where do I get the detailed procedure to find GCD of 143, 431, 380, 967?
You can find a detailed procedure to find GCD of 143, 431, 380, 967 on our page.
3. How to find GCD of 143, 431, 380, 967 on a calculator?
You can find the GCD of 143, 431, 380, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.