GCD of 924, 752, 72, 420 Calculator

Given Input numbers are 924, 752, 72, 420

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 924, 752, 72, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 752, 72, 420 is 4.

Therefore, GCD of numbers 924, 752, 72, 420 is 4

Given Input Data is 924, 752, 72, 420

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(924, 752) = 173712

GCD(924, 752) = ( 924 x 752 ) / 173712

GCD(924, 752) = 694848 / 173712

GCD(924, 752) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 420

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

LCM(4, 420) = 420

GCD(4, 420) = ( 4 x 420 ) / 420

GCD(4, 420) = 1680 / 420

GCD(4, 420) = 4

GCD of 924, 752, 72, 420 is 4

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1. What is the GCD of 924, 752, 72, 420?

GCD of 924, 752, 72, 420 is 4

2. Where do I get the detailed procedure to find GCD of 924, 752, 72, 420?

You can find a detailed procedure to find GCD of 924, 752, 72, 420 on our page.

3. How to find GCD of 924, 752, 72, 420 on a calculator?

You can find the GCD of 924, 752, 72, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.