GCD of 471, 946, 49, 110 Calculator

Given Input numbers are 471, 946, 49, 110

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 471, 946, 49, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 946, 49, 110 is 1.

Therefore, GCD of numbers 471, 946, 49, 110 is 1

Given Input Data is 471, 946, 49, 110

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 49 is 7 x 7

Prime Factorization of 110 is 2 x 5 x 11

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(471, 946) = 445566

GCD(471, 946) = ( 471 x 946 ) / 445566

GCD(471, 946) = 445566 / 445566

GCD(471, 946) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 471, 946, 49, 110 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 990, 41, 268
• GCD of 176, 133, 43, 925
• GCD of 242, 195, 11, 980
• GCD of 768, 316, 99, 678
• GCD of 212, 932, 97, 766

1. What is the GCD of 471, 946, 49, 110?

GCD of 471, 946, 49, 110 is 1

2. Where do I get the detailed procedure to find GCD of 471, 946, 49, 110?

You can find a detailed procedure to find GCD of 471, 946, 49, 110 on our page.

3. How to find GCD of 471, 946, 49, 110 on a calculator?

You can find the GCD of 471, 946, 49, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.