GCD of 416, 528, 700, 510 Calculator

Given Input numbers are 416, 528, 700, 510

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 416, 528, 700, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 528, 700, 510 is 2.

Therefore, GCD of numbers 416, 528, 700, 510 is 2

Given Input Data is 416, 528, 700, 510

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 510 is 2 x 3 x 5 x 17

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(416, 528) = 13728

GCD(416, 528) = ( 416 x 528 ) / 13728

GCD(416, 528) = 219648 / 13728

GCD(416, 528) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 700

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(16, 700) = 2800

GCD(16, 700) = ( 16 x 700 ) / 2800

GCD(16, 700) = 11200 / 2800

GCD(16, 700) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 510

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 510) = 1020

GCD(4, 510) = ( 4 x 510 ) / 1020

GCD(4, 510) = 2040 / 1020

GCD(4, 510) = 2

GCD of 416, 528, 700, 510 is 2

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1. What is the GCD of 416, 528, 700, 510?

GCD of 416, 528, 700, 510 is 2

2. Where do I get the detailed procedure to find GCD of 416, 528, 700, 510?

You can find a detailed procedure to find GCD of 416, 528, 700, 510 on our page.

3. How to find GCD of 416, 528, 700, 510 on a calculator?

You can find the GCD of 416, 528, 700, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.