GCD of 250, 752, 946 Calculator

Given Input numbers are 250, 752, 946

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

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 250, 752, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 752, 946 is 2.

Therefore, GCD of numbers 250, 752, 946 is 2

Given Input Data is 250, 752, 946

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

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 946 is 2 x 11 x 43

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(250, 752) = 94000

GCD(250, 752) = ( 250 x 752 ) / 94000

GCD(250, 752) = 188000 / 94000

GCD(250, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

GCD of 250, 752, 946 is 2

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1. What is the GCD of 250, 752, 946?

GCD of 250, 752, 946 is 2

2. Where do I get the detailed procedure to find GCD of 250, 752, 946?

You can find a detailed procedure to find GCD of 250, 752, 946 on our page.

3. How to find GCD of 250, 752, 946 on a calculator?

You can find the GCD of 250, 752, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.