GCD of 649, 448, 844, 974 Calculator

Given Input numbers are 649, 448, 844, 974

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 649, 448, 844, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 448, 844, 974 is 1.

Therefore, GCD of numbers 649, 448, 844, 974 is 1

Given Input Data is 649, 448, 844, 974

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 974 is 2 x 487

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(649, 448) = 290752

GCD(649, 448) = ( 649 x 448 ) / 290752

GCD(649, 448) = 290752 / 290752

GCD(649, 448) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 649, 448, 844, 974 is 1

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1. What is the GCD of 649, 448, 844, 974?

GCD of 649, 448, 844, 974 is 1

2. Where do I get the detailed procedure to find GCD of 649, 448, 844, 974?

You can find a detailed procedure to find GCD of 649, 448, 844, 974 on our page.

3. How to find GCD of 649, 448, 844, 974 on a calculator?

You can find the GCD of 649, 448, 844, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.