GCD of 874, 316, 16, 660 Calculator

Given Input numbers are 874, 316, 16, 660

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 874, 316, 16, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 316, 16, 660 is 2.

Therefore, GCD of numbers 874, 316, 16, 660 is 2

Given Input Data is 874, 316, 16, 660

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(874, 316) = 138092

GCD(874, 316) = ( 874 x 316 ) / 138092

GCD(874, 316) = 276184 / 138092

GCD(874, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

GCD of 874, 316, 16, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 707, 52, 616
• GCD of 175, 846, 22, 793
• GCD of 981, 698, 39, 254
• GCD of 118, 820, 45, 844
• GCD of 802, 856, 82, 635

1. What is the GCD of 874, 316, 16, 660?

GCD of 874, 316, 16, 660 is 2

2. Where do I get the detailed procedure to find GCD of 874, 316, 16, 660?

You can find a detailed procedure to find GCD of 874, 316, 16, 660 on our page.

3. How to find GCD of 874, 316, 16, 660 on a calculator?

You can find the GCD of 874, 316, 16, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.