GCD of 552, 700, 24, 528 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 552, 700, 24, 528 i.e. 4 largest integer that divides all the numbers equally.

GCD of 552, 700, 24, 528 is 4

GCD(552, 700, 24, 528) = 4

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 552, 700, 24, 528 is 4

GCD(552, 700, 24, 528) = 4

GCD of 552,700,24,528 Calculator

GCDof 552,700,24,528 is 4

Given Input numbers are 552, 700, 24, 528

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 552, 700, 24, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 700, 24, 528 is 4.

Therefore, GCD of numbers 552, 700, 24, 528 is 4

Finding GCD of 552, 700, 24, 528 using Prime Factorization

Given Input Data is 552, 700, 24, 528

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 552, 700, 24, 528 using LCM Formula

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(552, 700) = 96600

GCD(552, 700) = ( 552 x 700 ) / 96600

GCD(552, 700) = 386400 / 96600

GCD(552, 700) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 24

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

LCM(4, 24) = 24

GCD(4, 24) = ( 4 x 24 ) / 24

GCD(4, 24) = 96 / 24

GCD(4, 24) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 528

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

LCM(4, 528) = 528

GCD(4, 528) = ( 4 x 528 ) / 528

GCD(4, 528) = 2112 / 528

GCD(4, 528) = 4

GCD of 552, 700, 24, 528 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 552, 700, 24, 528

1. What is the GCD of 552, 700, 24, 528?

GCD of 552, 700, 24, 528 is 4


2. Where do I get the detailed procedure to find GCD of 552, 700, 24, 528?

You can find a detailed procedure to find GCD of 552, 700, 24, 528 on our page.


3. How to find GCD of 552, 700, 24, 528 on a calculator?

You can find the GCD of 552, 700, 24, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.