GCD of 832, 968, 516, 645 Calculator

Given Input numbers are 832, 968, 516, 645

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 832, 968, 516, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 968, 516, 645 is 1.

Therefore, GCD of numbers 832, 968, 516, 645 is 1

Given Input Data is 832, 968, 516, 645

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 645 is 3 x 5 x 43

The above numbers do not have any common prime factor. So GCD is 1

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(832, 968) = 100672

GCD(832, 968) = ( 832 x 968 ) / 100672

GCD(832, 968) = 805376 / 100672

GCD(832, 968) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 516

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

LCM(8, 516) = 1032

GCD(8, 516) = ( 8 x 516 ) / 1032

GCD(8, 516) = 4128 / 1032

GCD(8, 516) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 645

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

LCM(4, 645) = 2580

GCD(4, 645) = ( 4 x 645 ) / 2580

GCD(4, 645) = 2580 / 2580

GCD(4, 645) = 1

GCD of 832, 968, 516, 645 is 1

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1. What is the GCD of 832, 968, 516, 645?

GCD of 832, 968, 516, 645 is 1

2. Where do I get the detailed procedure to find GCD of 832, 968, 516, 645?

You can find a detailed procedure to find GCD of 832, 968, 516, 645 on our page.

3. How to find GCD of 832, 968, 516, 645 on a calculator?

You can find the GCD of 832, 968, 516, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.