GCD of 49, 449, 892, 956 Calculator

Given Input numbers are 49, 449, 892, 956

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

Divisors of 49

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

1, 7, 49

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 49, 449, 892, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 449, 892, 956 is 1.

Therefore, GCD of numbers 49, 449, 892, 956 is 1

Given Input Data is 49, 449, 892, 956

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 449 is 449

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 956 is 2 x 2 x 239

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(49, 449) = 22001

GCD(49, 449) = ( 49 x 449 ) / 22001

GCD(49, 449) = 22001 / 22001

GCD(49, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 49, 449, 892, 956 is 1

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1. What is the GCD of 49, 449, 892, 956?

GCD of 49, 449, 892, 956 is 1

2. Where do I get the detailed procedure to find GCD of 49, 449, 892, 956?

You can find a detailed procedure to find GCD of 49, 449, 892, 956 on our page.

3. How to find GCD of 49, 449, 892, 956 on a calculator?

You can find the GCD of 49, 449, 892, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.