GCD of 854, 649, 48, 434 Calculator

Given Input numbers are 854, 649, 48, 434

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 649

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

1, 11, 59, 649

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 854, 649, 48, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 649, 48, 434 is 1.

Therefore, GCD of numbers 854, 649, 48, 434 is 1

Given Input Data is 854, 649, 48, 434

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 649 is 11 x 59

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 434 is 2 x 7 x 31

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(854, 649) = 554246

GCD(854, 649) = ( 854 x 649 ) / 554246

GCD(854, 649) = 554246 / 554246

GCD(854, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 854, 649, 48, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 161, 10, 167
• GCD of 221, 325, 91, 976
• GCD of 554, 423, 87, 777
• GCD of 938, 262, 13, 496
• GCD of 898, 207, 56, 104

1. What is the GCD of 854, 649, 48, 434?

GCD of 854, 649, 48, 434 is 1

2. Where do I get the detailed procedure to find GCD of 854, 649, 48, 434?

You can find a detailed procedure to find GCD of 854, 649, 48, 434 on our page.

3. How to find GCD of 854, 649, 48, 434 on a calculator?

You can find the GCD of 854, 649, 48, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.