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 496, 516, 770, 432 i.e. 2 largest integer that divides all the numbers equally.
GCD of 496, 516, 770, 432 is 2
GCD(496, 516, 770, 432) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 516, 770, 432 is 2
GCD(496, 516, 770, 432) = 2
Given Input numbers are 496, 516, 770, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 496, 516, 770, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 516, 770, 432 is 2.
Therefore, GCD of numbers 496, 516, 770, 432 is 2
Given Input Data is 496, 516, 770, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(496, 516) = 63984
GCD(496, 516) = ( 496 x 516 ) / 63984
GCD(496, 516) = 255936 / 63984
GCD(496, 516) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 770) = 1540
GCD(4, 770) = ( 4 x 770 ) / 1540
GCD(4, 770) = 3080 / 1540
GCD(4, 770) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
GCD(2, 432) = 864 / 432
GCD(2, 432) = 2
GCD of 496, 516, 770, 432 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 516, 770, 432?
GCD of 496, 516, 770, 432 is 2
2. Where do I get the detailed procedure to find GCD of 496, 516, 770, 432?
You can find a detailed procedure to find GCD of 496, 516, 770, 432 on our page.
3. How to find GCD of 496, 516, 770, 432 on a calculator?
You can find the GCD of 496, 516, 770, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.