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 148, 781, 17, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 781, 17, 168 is 1
GCD(148, 781, 17, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 781, 17, 168 is 1
GCD(148, 781, 17, 168) = 1
Given Input numbers are 148, 781, 17, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 148, 781, 17, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 781, 17, 168 is 1.
Therefore, GCD of numbers 148, 781, 17, 168 is 1
Given Input Data is 148, 781, 17, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 781 is 11 x 71
Prime Factorization of 17 is 17
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
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(148, 781) = 115588
GCD(148, 781) = ( 148 x 781 ) / 115588
GCD(148, 781) = 115588 / 115588
GCD(148, 781) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 148, 781, 17, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 781, 17, 168?
GCD of 148, 781, 17, 168 is 1
2. Where do I get the detailed procedure to find GCD of 148, 781, 17, 168?
You can find a detailed procedure to find GCD of 148, 781, 17, 168 on our page.
3. How to find GCD of 148, 781, 17, 168 on a calculator?
You can find the GCD of 148, 781, 17, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.