GCD of 292, 740, 250, 446 Calculator

Given Input numbers are 292, 740, 250, 446

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 292, 740, 250, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 740, 250, 446 is 2.

Therefore, GCD of numbers 292, 740, 250, 446 is 2

Given Input Data is 292, 740, 250, 446

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 740 is 2 x 2 x 5 x 37

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

Prime Factorization of 446 is 2 x 223

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(292, 740) = 54020

GCD(292, 740) = ( 292 x 740 ) / 54020

GCD(292, 740) = 216080 / 54020

GCD(292, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 250

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

LCM(4, 250) = 500

GCD(4, 250) = ( 4 x 250 ) / 500

GCD(4, 250) = 1000 / 500

GCD(4, 250) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 446

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

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

GCD(2, 446) = 892 / 446

GCD(2, 446) = 2

GCD of 292, 740, 250, 446 is 2

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1. What is the GCD of 292, 740, 250, 446?

GCD of 292, 740, 250, 446 is 2

2. Where do I get the detailed procedure to find GCD of 292, 740, 250, 446?

You can find a detailed procedure to find GCD of 292, 740, 250, 446 on our page.

3. How to find GCD of 292, 740, 250, 446 on a calculator?

You can find the GCD of 292, 740, 250, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.