GCD of 402, 100, 550, 175 Calculator

Given Input numbers are 402, 100, 550, 175

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

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 402, 100, 550, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 100, 550, 175 is 1.

Therefore, GCD of numbers 402, 100, 550, 175 is 1

Given Input Data is 402, 100, 550, 175

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(402, 100) = 20100

GCD(402, 100) = ( 402 x 100 ) / 20100

GCD(402, 100) = 40200 / 20100

GCD(402, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 550

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

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

GCD(2, 550) = 1100 / 550

GCD(2, 550) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 175

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

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

GCD(2, 175) = 350 / 350

GCD(2, 175) = 1

GCD of 402, 100, 550, 175 is 1

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• GCD of 948, 788, 709, 429
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1. What is the GCD of 402, 100, 550, 175?

GCD of 402, 100, 550, 175 is 1

2. Where do I get the detailed procedure to find GCD of 402, 100, 550, 175?

You can find a detailed procedure to find GCD of 402, 100, 550, 175 on our page.

3. How to find GCD of 402, 100, 550, 175 on a calculator?

You can find the GCD of 402, 100, 550, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.