GCD of 645, 672, 690, 516 Calculator

Given Input numbers are 645, 672, 690, 516

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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

Greatest Common Divisior

We found the divisors of 645, 672, 690, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 672, 690, 516 is 3.

Therefore, GCD of numbers 645, 672, 690, 516 is 3

Given Input Data is 645, 672, 690, 516

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 516 is 2 x 2 x 3 x 43

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(645, 672) = 144480

GCD(645, 672) = ( 645 x 672 ) / 144480

GCD(645, 672) = 433440 / 144480

GCD(645, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 690

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

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

GCD(3, 690) = 2070 / 690

GCD(3, 690) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 516

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

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

GCD(3, 516) = 1548 / 516

GCD(3, 516) = 3

GCD of 645, 672, 690, 516 is 3

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1. What is the GCD of 645, 672, 690, 516?

GCD of 645, 672, 690, 516 is 3

2. Where do I get the detailed procedure to find GCD of 645, 672, 690, 516?

You can find a detailed procedure to find GCD of 645, 672, 690, 516 on our page.

3. How to find GCD of 645, 672, 690, 516 on a calculator?

You can find the GCD of 645, 672, 690, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.