GCD of 732, 528, 178 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 732, 528, 178 i.e. 2 largest integer that divides all the numbers equally.
GCD of 732, 528, 178 is 2
GCD(732, 528, 178) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 528, 178 is 2
GCD(732, 528, 178) = 2
GCDof 732,528,178 is 2
Given Input numbers are 732, 528, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 732, 528, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 528, 178 is 2.
Therefore, GCD of numbers 732, 528, 178 is 2
Given Input Data is 732, 528, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 178 is 2 x 89
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 732, 528, 178 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(732, 528) = 32208
GCD(732, 528) = ( 732 x 528 ) / 32208
GCD(732, 528) = 386496 / 32208
GCD(732, 528) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 178) = 1068
GCD(12, 178) = ( 12 x 178 ) / 1068
GCD(12, 178) = 2136 / 1068
GCD(12, 178) = 2
GCD of 732, 528, 178 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 732, 528, 178
1. What is the GCD of 732, 528, 178?
GCD of 732, 528, 178 is 2
2. Where do I get the detailed procedure to find GCD of 732, 528, 178?
You can find a detailed procedure to find GCD of 732, 528, 178 on our page.
3. How to find GCD of 732, 528, 178 on a calculator?
You can find the GCD of 732, 528, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.