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 52, 428, 700, 748 i.e. 4 largest integer that divides all the numbers equally.
GCD of 52, 428, 700, 748 is 4
GCD(52, 428, 700, 748) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 428, 700, 748 is 4
GCD(52, 428, 700, 748) = 4
Given Input numbers are 52, 428, 700, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
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 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 52, 428, 700, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 428, 700, 748 is 4.
Therefore, GCD of numbers 52, 428, 700, 748 is 4
Given Input Data is 52, 428, 700, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 748 is 2 x 2 x 11 x 17
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(52, 428) = 5564
GCD(52, 428) = ( 52 x 428 ) / 5564
GCD(52, 428) = 22256 / 5564
GCD(52, 428) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 700) = 700
GCD(4, 700) = ( 4 x 700 ) / 700
GCD(4, 700) = 2800 / 700
GCD(4, 700) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 748) = 748
GCD(4, 748) = ( 4 x 748 ) / 748
GCD(4, 748) = 2992 / 748
GCD(4, 748) = 4
GCD of 52, 428, 700, 748 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 428, 700, 748?
GCD of 52, 428, 700, 748 is 4
2. Where do I get the detailed procedure to find GCD of 52, 428, 700, 748?
You can find a detailed procedure to find GCD of 52, 428, 700, 748 on our page.
3. How to find GCD of 52, 428, 700, 748 on a calculator?
You can find the GCD of 52, 428, 700, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.