GCD of 248, 370, 892, 446 Calculator

Given Input numbers are 248, 370, 892, 446

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

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 248, 370, 892, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 370, 892, 446 is 2.

Therefore, GCD of numbers 248, 370, 892, 446 is 2

Given Input Data is 248, 370, 892, 446

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 892 is 2 x 2 x 223

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(248, 370) = 45880

GCD(248, 370) = ( 248 x 370 ) / 45880

GCD(248, 370) = 91760 / 45880

GCD(248, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 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 248, 370, 892, 446 is 2

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1. What is the GCD of 248, 370, 892, 446?

GCD of 248, 370, 892, 446 is 2

2. Where do I get the detailed procedure to find GCD of 248, 370, 892, 446?

You can find a detailed procedure to find GCD of 248, 370, 892, 446 on our page.

3. How to find GCD of 248, 370, 892, 446 on a calculator?

You can find the GCD of 248, 370, 892, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.