GCD of 946, 206, 224, 431 Calculator

Given Input numbers are 946, 206, 224, 431

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 431

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

1, 431

Greatest Common Divisior

We found the divisors of 946, 206, 224, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 206, 224, 431 is 1.

Therefore, GCD of numbers 946, 206, 224, 431 is 1

Given Input Data is 946, 206, 224, 431

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 206 is 2 x 103

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 431 is 431

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(946, 206) = 97438

GCD(946, 206) = ( 946 x 206 ) / 97438

GCD(946, 206) = 194876 / 97438

GCD(946, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 431

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

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

GCD(2, 431) = 862 / 862

GCD(2, 431) = 1

GCD of 946, 206, 224, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 825, 557, 165
• GCD of 445, 877, 374, 904
• GCD of 642, 722, 420, 446
• GCD of 289, 556, 710, 320
• GCD of 207, 255, 830, 638

1. What is the GCD of 946, 206, 224, 431?

GCD of 946, 206, 224, 431 is 1

2. Where do I get the detailed procedure to find GCD of 946, 206, 224, 431?

You can find a detailed procedure to find GCD of 946, 206, 224, 431 on our page.

3. How to find GCD of 946, 206, 224, 431 on a calculator?

You can find the GCD of 946, 206, 224, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.