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 548, 143, 70, 164 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 143, 70, 164 is 1
GCD(548, 143, 70, 164) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 143, 70, 164 is 1
GCD(548, 143, 70, 164) = 1
Given Input numbers are 548, 143, 70, 164
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Greatest Common Divisior
We found the divisors of 548, 143, 70, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 143, 70, 164 is 1.
Therefore, GCD of numbers 548, 143, 70, 164 is 1
Given Input Data is 548, 143, 70, 164
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 143 is 11 x 13
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 164 is 2 x 2 x 41
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(548, 143) = 78364
GCD(548, 143) = ( 548 x 143 ) / 78364
GCD(548, 143) = 78364 / 78364
GCD(548, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
GCD(1, 164) = 164 / 164
GCD(1, 164) = 1
GCD of 548, 143, 70, 164 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 143, 70, 164?
GCD of 548, 143, 70, 164 is 1
2. Where do I get the detailed procedure to find GCD of 548, 143, 70, 164?
You can find a detailed procedure to find GCD of 548, 143, 70, 164 on our page.
3. How to find GCD of 548, 143, 70, 164 on a calculator?
You can find the GCD of 548, 143, 70, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.