GCD of 800, 400, 42, 674 Calculator

Given Input numbers are 800, 400, 42, 674

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 800, 400, 42, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 400, 42, 674 is 2.

Therefore, GCD of numbers 800, 400, 42, 674 is 2

Given Input Data is 800, 400, 42, 674

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 674 is 2 x 337

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(800, 400) = 800

GCD(800, 400) = ( 800 x 400 ) / 800

GCD(800, 400) = 320000 / 800

GCD(800, 400) = 400

Step2:

Here we consider the GCD from the above i.e. 400 as first number and the next as 42

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

LCM(400, 42) = 8400

GCD(400, 42) = ( 400 x 42 ) / 8400

GCD(400, 42) = 16800 / 8400

GCD(400, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

GCD of 800, 400, 42, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 754, 23, 675
• GCD of 811, 615, 24, 798
• GCD of 782, 451, 52, 544
• GCD of 516, 956, 84, 243
• GCD of 780, 752, 35, 711

1. What is the GCD of 800, 400, 42, 674?

GCD of 800, 400, 42, 674 is 2

2. Where do I get the detailed procedure to find GCD of 800, 400, 42, 674?

You can find a detailed procedure to find GCD of 800, 400, 42, 674 on our page.

3. How to find GCD of 800, 400, 42, 674 on a calculator?

You can find the GCD of 800, 400, 42, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.