GCD of 732, 552, 57 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, 552, 57 i.e. 3 largest integer that divides all the numbers equally.
GCD of 732, 552, 57 is 3
GCD(732, 552, 57) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 552, 57 is 3
GCD(732, 552, 57) = 3
GCDof 732,552,57 is 3
Given Input numbers are 732, 552, 57
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 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Greatest Common Divisior
We found the divisors of 732, 552, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 552, 57 is 3.
Therefore, GCD of numbers 732, 552, 57 is 3
Given Input Data is 732, 552, 57
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 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 57 is 3 x 19
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 732, 552, 57 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, 552) = 33672
GCD(732, 552) = ( 732 x 552 ) / 33672
GCD(732, 552) = 404064 / 33672
GCD(732, 552) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 57) = 228
GCD(12, 57) = ( 12 x 57 ) / 228
GCD(12, 57) = 684 / 228
GCD(12, 57) = 3
GCD of 732, 552, 57 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 732, 552, 57
1. What is the GCD of 732, 552, 57?
GCD of 732, 552, 57 is 3
2. Where do I get the detailed procedure to find GCD of 732, 552, 57?
You can find a detailed procedure to find GCD of 732, 552, 57 on our page.
3. How to find GCD of 732, 552, 57 on a calculator?
You can find the GCD of 732, 552, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.