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 144, 743, 670, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 743, 670, 167 is 1
GCD(144, 743, 670, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 743, 670, 167 is 1
GCD(144, 743, 670, 167) = 1
Given Input numbers are 144, 743, 670, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 144, 743, 670, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 743, 670, 167 is 1.
Therefore, GCD of numbers 144, 743, 670, 167 is 1
Given Input Data is 144, 743, 670, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 743 is 743
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 167 is 167
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(144, 743) = 106992
GCD(144, 743) = ( 144 x 743 ) / 106992
GCD(144, 743) = 106992 / 106992
GCD(144, 743) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 670) = 670
GCD(1, 670) = ( 1 x 670 ) / 670
GCD(1, 670) = 670 / 670
GCD(1, 670) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
GCD of 144, 743, 670, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 743, 670, 167?
GCD of 144, 743, 670, 167 is 1
2. Where do I get the detailed procedure to find GCD of 144, 743, 670, 167?
You can find a detailed procedure to find GCD of 144, 743, 670, 167 on our page.
3. How to find GCD of 144, 743, 670, 167 on a calculator?
You can find the GCD of 144, 743, 670, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.