GCD of 159, 480, 852 Calculator
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 159, 480, 852 i.e. 3 largest integer that divides all the numbers equally.
GCD of 159, 480, 852 is 3
GCD(159, 480, 852) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 480, 852 is 3
GCD(159, 480, 852) = 3
GCDof 159,480,852 is 3
Given Input numbers are 159, 480, 852
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 159, 480, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 480, 852 is 3.
Therefore, GCD of numbers 159, 480, 852 is 3
Given Input Data is 159, 480, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 852 is 2 x 2 x 3 x 71
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 159, 480, 852 using LCM Formula
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(159, 480) = 25440
GCD(159, 480) = ( 159 x 480 ) / 25440
GCD(159, 480) = 76320 / 25440
GCD(159, 480) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 852) = 852
GCD(3, 852) = ( 3 x 852 ) / 852
GCD(3, 852) = 2556 / 852
GCD(3, 852) = 3
GCD of 159, 480, 852 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 159, 480, 852
1. What is the GCD of 159, 480, 852?
GCD of 159, 480, 852 is 3
2. Where do I get the detailed procedure to find GCD of 159, 480, 852?
You can find a detailed procedure to find GCD of 159, 480, 852 on our page.
3. How to find GCD of 159, 480, 852 on a calculator?
You can find the GCD of 159, 480, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.