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 142, 529, 48 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 529, 48 is 1
GCD(142, 529, 48) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 529, 48 is 1
GCD(142, 529, 48) = 1
Given Input numbers are 142, 529, 48
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Greatest Common Divisior
We found the divisors of 142, 529, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 529, 48 is 1.
Therefore, GCD of numbers 142, 529, 48 is 1
Given Input Data is 142, 529, 48
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 529 is 23 x 23
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
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(142, 529) = 75118
GCD(142, 529) = ( 142 x 529 ) / 75118
GCD(142, 529) = 75118 / 75118
GCD(142, 529) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
GCD of 142, 529, 48 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 529, 48?
GCD of 142, 529, 48 is 1
2. Where do I get the detailed procedure to find GCD of 142, 529, 48?
You can find a detailed procedure to find GCD of 142, 529, 48 on our page.
3. How to find GCD of 142, 529, 48 on a calculator?
You can find the GCD of 142, 529, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.