GCD of 400, 368, 40, 175 Calculator

Given Input numbers are 400, 368, 40, 175

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 400, 368, 40, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 368, 40, 175 is 1.

Therefore, GCD of numbers 400, 368, 40, 175 is 1

Given Input Data is 400, 368, 40, 175

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 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 175 is 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

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, 368) = 9200

GCD(400, 368) = ( 400 x 368 ) / 9200

GCD(400, 368) = 147200 / 9200

GCD(400, 368) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 40

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

LCM(16, 40) = 80

GCD(16, 40) = ( 16 x 40 ) / 80

GCD(16, 40) = 640 / 80

GCD(16, 40) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 175

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

LCM(8, 175) = 1400

GCD(8, 175) = ( 8 x 175 ) / 1400

GCD(8, 175) = 1400 / 1400

GCD(8, 175) = 1

GCD of 400, 368, 40, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 281, 72, 788
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• GCD of 184, 494, 62, 385
• GCD of 228, 461, 67, 109

1. What is the GCD of 400, 368, 40, 175?

GCD of 400, 368, 40, 175 is 1

2. Where do I get the detailed procedure to find GCD of 400, 368, 40, 175?

You can find a detailed procedure to find GCD of 400, 368, 40, 175 on our page.

3. How to find GCD of 400, 368, 40, 175 on a calculator?

You can find the GCD of 400, 368, 40, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.