GCD of 496, 516, 770, 432 Calculator

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.

• GCD of 293, 461, 430, 355
• GCD of 269, 464, 845, 494
• GCD of 857, 711, 834, 894
• GCD of 312, 843, 672, 257
• GCD of 261, 768, 337, 616

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.