GCD of 652, 854, 500, 960 Calculator

Given Input numbers are 652, 854, 500, 960

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

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 652, 854, 500, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 854, 500, 960 is 2.

Therefore, GCD of numbers 652, 854, 500, 960 is 2

Given Input Data is 652, 854, 500, 960

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

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 500 is 2 x 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

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(652, 854) = 278404

GCD(652, 854) = ( 652 x 854 ) / 278404

GCD(652, 854) = 556808 / 278404

GCD(652, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 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 652, 854, 500, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 331, 476, 117
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• GCD of 282, 486, 166, 703

1. What is the GCD of 652, 854, 500, 960?

GCD of 652, 854, 500, 960 is 2

2. Where do I get the detailed procedure to find GCD of 652, 854, 500, 960?

You can find a detailed procedure to find GCD of 652, 854, 500, 960 on our page.

3. How to find GCD of 652, 854, 500, 960 on a calculator?

You can find the GCD of 652, 854, 500, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.