GCD of 250, 960, 88, 618 Calculator

Given Input numbers are 250, 960, 88, 618

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 250, 960, 88, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 960, 88, 618 is 2.

Therefore, GCD of numbers 250, 960, 88, 618 is 2

Given Input Data is 250, 960, 88, 618

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 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 618 is 2 x 3 x 103

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, 960) = 24000

GCD(250, 960) = ( 250 x 960 ) / 24000

GCD(250, 960) = 240000 / 24000

GCD(250, 960) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 88

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

LCM(10, 88) = 440

GCD(10, 88) = ( 10 x 88 ) / 440

GCD(10, 88) = 880 / 440

GCD(10, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 618

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

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

GCD(2, 618) = 1236 / 618

GCD(2, 618) = 2

GCD of 250, 960, 88, 618 is 2

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1. What is the GCD of 250, 960, 88, 618?

GCD of 250, 960, 88, 618 is 2

2. Where do I get the detailed procedure to find GCD of 250, 960, 88, 618?

You can find a detailed procedure to find GCD of 250, 960, 88, 618 on our page.

3. How to find GCD of 250, 960, 88, 618 on a calculator?

You can find the GCD of 250, 960, 88, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.