GCD of 400, 580, 88, 344 Calculator

Given Input numbers are 400, 580, 88, 344

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

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 400, 580, 88, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 580, 88, 344 is 4.

Therefore, GCD of numbers 400, 580, 88, 344 is 4

Given Input Data is 400, 580, 88, 344

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

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 344 is 2 x 2 x 2 x 43

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(400, 580) = 11600

GCD(400, 580) = ( 400 x 580 ) / 11600

GCD(400, 580) = 232000 / 11600

GCD(400, 580) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 88

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

LCM(20, 88) = 440

GCD(20, 88) = ( 20 x 88 ) / 440

GCD(20, 88) = 1760 / 440

GCD(20, 88) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 344

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

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

GCD(4, 344) = 1376 / 344

GCD(4, 344) = 4

GCD of 400, 580, 88, 344 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 415, 98, 932
• GCD of 795, 409, 16, 673
• GCD of 749, 987, 33, 173
• GCD of 434, 267, 58, 791
• GCD of 836, 995, 51, 509

1. What is the GCD of 400, 580, 88, 344?

GCD of 400, 580, 88, 344 is 4

2. Where do I get the detailed procedure to find GCD of 400, 580, 88, 344?

You can find a detailed procedure to find GCD of 400, 580, 88, 344 on our page.

3. How to find GCD of 400, 580, 88, 344 on a calculator?

You can find the GCD of 400, 580, 88, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.