GCD of 46, 478, 250, 140 Calculator

Given Input numbers are 46, 478, 250, 140

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

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

Greatest Common Divisior

We found the divisors of 46, 478, 250, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 478, 250, 140 is 2.

Therefore, GCD of numbers 46, 478, 250, 140 is 2

Given Input Data is 46, 478, 250, 140

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 478 is 2 x 239

Prime Factorization of 250 is 2 x 5 x 5 x 5

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

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(46, 478) = 10994

GCD(46, 478) = ( 46 x 478 ) / 10994

GCD(46, 478) = 21988 / 10994

GCD(46, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 140

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

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

GCD(2, 140) = 280 / 140

GCD(2, 140) = 2

GCD of 46, 478, 250, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 726, 366, 431
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• GCD of 20, 160, 798, 897

1. What is the GCD of 46, 478, 250, 140?

GCD of 46, 478, 250, 140 is 2

2. Where do I get the detailed procedure to find GCD of 46, 478, 250, 140?

You can find a detailed procedure to find GCD of 46, 478, 250, 140 on our page.

3. How to find GCD of 46, 478, 250, 140 on a calculator?

You can find the GCD of 46, 478, 250, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.