GCD of 816, 142, 860, 374 Calculator

Given Input numbers are 816, 142, 860, 374

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 816, 142, 860, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 142, 860, 374 is 2.

Therefore, GCD of numbers 816, 142, 860, 374 is 2

Given Input Data is 816, 142, 860, 374

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 142 is 2 x 71

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

Prime Factorization of 374 is 2 x 11 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(816, 142) = 57936

GCD(816, 142) = ( 816 x 142 ) / 57936

GCD(816, 142) = 115872 / 57936

GCD(816, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 860

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

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

GCD(2, 860) = 1720 / 860

GCD(2, 860) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

GCD of 816, 142, 860, 374 is 2

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1. What is the GCD of 816, 142, 860, 374?

GCD of 816, 142, 860, 374 is 2

2. Where do I get the detailed procedure to find GCD of 816, 142, 860, 374?

You can find a detailed procedure to find GCD of 816, 142, 860, 374 on our page.

3. How to find GCD of 816, 142, 860, 374 on a calculator?

You can find the GCD of 816, 142, 860, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.