GCD of 146, 770, 250, 448 Calculator

Given Input numbers are 146, 770, 250, 448

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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 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

Greatest Common Divisior

We found the divisors of 146, 770, 250, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 770, 250, 448 is 2.

Therefore, GCD of numbers 146, 770, 250, 448 is 2

Given Input Data is 146, 770, 250, 448

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 770 is 2 x 5 x 7 x 11

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 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(146, 770) = 56210

GCD(146, 770) = ( 146 x 770 ) / 56210

GCD(146, 770) = 112420 / 56210

GCD(146, 770) = 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 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

GCD of 146, 770, 250, 448 is 2

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1. What is the GCD of 146, 770, 250, 448?

GCD of 146, 770, 250, 448 is 2

2. Where do I get the detailed procedure to find GCD of 146, 770, 250, 448?

You can find a detailed procedure to find GCD of 146, 770, 250, 448 on our page.

3. How to find GCD of 146, 770, 250, 448 on a calculator?

You can find the GCD of 146, 770, 250, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.