GCD of 424, 649, 51, 869 Calculator

Given Input numbers are 424, 649, 51, 869

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 649

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

1, 11, 59, 649

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 424, 649, 51, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 649, 51, 869 is 1.

Therefore, GCD of numbers 424, 649, 51, 869 is 1

Given Input Data is 424, 649, 51, 869

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 649 is 11 x 59

Prime Factorization of 51 is 3 x 17

Prime Factorization of 869 is 11 x 79

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(424, 649) = 275176

GCD(424, 649) = ( 424 x 649 ) / 275176

GCD(424, 649) = 275176 / 275176

GCD(424, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 424, 649, 51, 869 is 1

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1. What is the GCD of 424, 649, 51, 869?

GCD of 424, 649, 51, 869 is 1

2. Where do I get the detailed procedure to find GCD of 424, 649, 51, 869?

You can find a detailed procedure to find GCD of 424, 649, 51, 869 on our page.

3. How to find GCD of 424, 649, 51, 869 on a calculator?

You can find the GCD of 424, 649, 51, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.