GCD of 512, 488, 62 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 512, 488, 62 i.e. 2 largest integer that divides all the numbers equally.
GCD of 512, 488, 62 is 2
GCD(512, 488, 62) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 512, 488, 62 is 2
GCD(512, 488, 62) = 2
GCDof 512,488,62 is 2
Given Input numbers are 512, 488, 62
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Greatest Common Divisior
We found the divisors of 512, 488, 62 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 488, 62 is 2.
Therefore, GCD of numbers 512, 488, 62 is 2
Given Input Data is 512, 488, 62
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 62 is 2 x 31
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 512, 488, 62 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(512, 488) = 31232
GCD(512, 488) = ( 512 x 488 ) / 31232
GCD(512, 488) = 249856 / 31232
GCD(512, 488) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 62) = 248
GCD(8, 62) = ( 8 x 62 ) / 248
GCD(8, 62) = 496 / 248
GCD(8, 62) = 2
GCD of 512, 488, 62 is 2
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FAQs on GCD of numbers 512, 488, 62
1. What is the GCD of 512, 488, 62?
GCD of 512, 488, 62 is 2
2. Where do I get the detailed procedure to find GCD of 512, 488, 62?
You can find a detailed procedure to find GCD of 512, 488, 62 on our page.
3. How to find GCD of 512, 488, 62 on a calculator?
You can find the GCD of 512, 488, 62 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.