GCD of 586, 750, 952, 960 Calculator

Given Input numbers are 586, 750, 952, 960

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

Greatest Common Divisior

We found the divisors of 586, 750, 952, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 750, 952, 960 is 2.

Therefore, GCD of numbers 586, 750, 952, 960 is 2

Given Input Data is 586, 750, 952, 960

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(586, 750) = 219750

GCD(586, 750) = ( 586 x 750 ) / 219750

GCD(586, 750) = 439500 / 219750

GCD(586, 750) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 586, 750, 952, 960 is 2

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1. What is the GCD of 586, 750, 952, 960?

GCD of 586, 750, 952, 960 is 2

2. Where do I get the detailed procedure to find GCD of 586, 750, 952, 960?

You can find a detailed procedure to find GCD of 586, 750, 952, 960 on our page.

3. How to find GCD of 586, 750, 952, 960 on a calculator?

You can find the GCD of 586, 750, 952, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.