GCD of 654, 730, 532, 516 Calculator

Given Input numbers are 654, 730, 532, 516

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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 654, 730, 532, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 730, 532, 516 is 2.

Therefore, GCD of numbers 654, 730, 532, 516 is 2

Given Input Data is 654, 730, 532, 516

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 532 is 2 x 2 x 7 x 19

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

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(654, 730) = 238710

GCD(654, 730) = ( 654 x 730 ) / 238710

GCD(654, 730) = 477420 / 238710

GCD(654, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

GCD of 654, 730, 532, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 962, 208, 301
• GCD of 126, 871, 104, 279
• GCD of 845, 377, 537, 784
• GCD of 886, 883, 503, 289
• GCD of 165, 923, 427, 213

1. What is the GCD of 654, 730, 532, 516?

GCD of 654, 730, 532, 516 is 2

2. Where do I get the detailed procedure to find GCD of 654, 730, 532, 516?

You can find a detailed procedure to find GCD of 654, 730, 532, 516 on our page.

3. How to find GCD of 654, 730, 532, 516 on a calculator?

You can find the GCD of 654, 730, 532, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.