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 numbers 552, 700, 24, 528 is 4
GCD(552, 700, 24, 528) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.