GCD of 752, 324, 500, 350 Calculator

Given Input numbers are 752, 324, 500, 350

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

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 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 752, 324, 500, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 324, 500, 350 is 2.

Therefore, GCD of numbers 752, 324, 500, 350 is 2

Given Input Data is 752, 324, 500, 350

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

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(752, 324) = 60912

GCD(752, 324) = ( 752 x 324 ) / 60912

GCD(752, 324) = 243648 / 60912

GCD(752, 324) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 500

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

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

GCD(4, 500) = 2000 / 500

GCD(4, 500) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 350

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

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

GCD(4, 350) = 1400 / 700

GCD(4, 350) = 2

GCD of 752, 324, 500, 350 is 2

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• GCD of 550, 649, 135, 203
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• GCD of 598, 213, 498, 767

1. What is the GCD of 752, 324, 500, 350?

GCD of 752, 324, 500, 350 is 2

2. Where do I get the detailed procedure to find GCD of 752, 324, 500, 350?

You can find a detailed procedure to find GCD of 752, 324, 500, 350 on our page.

3. How to find GCD of 752, 324, 500, 350 on a calculator?

You can find the GCD of 752, 324, 500, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.