GCD of 140, 448, 552, 854 Calculator

Given Input numbers are 140, 448, 552, 854

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 854

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

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

Greatest Common Divisior

We found the divisors of 140, 448, 552, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 448, 552, 854 is 2.

Therefore, GCD of numbers 140, 448, 552, 854 is 2

Given Input Data is 140, 448, 552, 854

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 854 is 2 x 7 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(140, 448) = 2240

GCD(140, 448) = ( 140 x 448 ) / 2240

GCD(140, 448) = 62720 / 2240

GCD(140, 448) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 552

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

LCM(28, 552) = 3864

GCD(28, 552) = ( 28 x 552 ) / 3864

GCD(28, 552) = 15456 / 3864

GCD(28, 552) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 854

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

LCM(4, 854) = 1708

GCD(4, 854) = ( 4 x 854 ) / 1708

GCD(4, 854) = 3416 / 1708

GCD(4, 854) = 2

GCD of 140, 448, 552, 854 is 2

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1. What is the GCD of 140, 448, 552, 854?

GCD of 140, 448, 552, 854 is 2

2. Where do I get the detailed procedure to find GCD of 140, 448, 552, 854?

You can find a detailed procedure to find GCD of 140, 448, 552, 854 on our page.

3. How to find GCD of 140, 448, 552, 854 on a calculator?

You can find the GCD of 140, 448, 552, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.