GCD of 528, 860, 14, 654 Calculator

Given Input numbers are 528, 860, 14, 654

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

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 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 654

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

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

Greatest Common Divisior

We found the divisors of 528, 860, 14, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 860, 14, 654 is 2.

Therefore, GCD of numbers 528, 860, 14, 654 is 2

Given Input Data is 528, 860, 14, 654

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

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 14 is 2 x 7

Prime Factorization of 654 is 2 x 3 x 109

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(528, 860) = 113520

GCD(528, 860) = ( 528 x 860 ) / 113520

GCD(528, 860) = 454080 / 113520

GCD(528, 860) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 654

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

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

GCD(2, 654) = 1308 / 654

GCD(2, 654) = 2

GCD of 528, 860, 14, 654 is 2

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1. What is the GCD of 528, 860, 14, 654?

GCD of 528, 860, 14, 654 is 2

2. Where do I get the detailed procedure to find GCD of 528, 860, 14, 654?

You can find a detailed procedure to find GCD of 528, 860, 14, 654 on our page.

3. How to find GCD of 528, 860, 14, 654 on a calculator?

You can find the GCD of 528, 860, 14, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.