GCD of 48, 431, 171, 201 Calculator

Given Input numbers are 48, 431, 171, 201

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 48, 431, 171, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 431, 171, 201 is 1.

Therefore, GCD of numbers 48, 431, 171, 201 is 1

Given Input Data is 48, 431, 171, 201

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 431 is 431

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 201 is 3 x 67

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(48, 431) = 20688

GCD(48, 431) = ( 48 x 431 ) / 20688

GCD(48, 431) = 20688 / 20688

GCD(48, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 1

GCD of 48, 431, 171, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 874, 972, 606
• GCD of 24, 191, 365, 340
• GCD of 18, 857, 396, 262
• GCD of 53, 469, 874, 149
• GCD of 43, 256, 100, 509

1. What is the GCD of 48, 431, 171, 201?

GCD of 48, 431, 171, 201 is 1

2. Where do I get the detailed procedure to find GCD of 48, 431, 171, 201?

You can find a detailed procedure to find GCD of 48, 431, 171, 201 on our page.

3. How to find GCD of 48, 431, 171, 201 on a calculator?

You can find the GCD of 48, 431, 171, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.