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 528, 848, 431, 544 i.e. 1 largest integer that divides all the numbers equally.
GCD of 528, 848, 431, 544 is 1
GCD(528, 848, 431, 544) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 528, 848, 431, 544 is 1
GCD(528, 848, 431, 544) = 1
Given Input numbers are 528, 848, 431, 544
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Greatest Common Divisior
We found the divisors of 528, 848, 431, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 848, 431, 544 is 1.
Therefore, GCD of numbers 528, 848, 431, 544 is 1
Given Input Data is 528, 848, 431, 544
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 431 is 431
Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
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(528, 848) = 27984
GCD(528, 848) = ( 528 x 848 ) / 27984
GCD(528, 848) = 447744 / 27984
GCD(528, 848) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 431) = 6896
GCD(16, 431) = ( 16 x 431 ) / 6896
GCD(16, 431) = 6896 / 6896
GCD(16, 431) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 544
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 544) = 544
GCD(1, 544) = ( 1 x 544 ) / 544
GCD(1, 544) = 544 / 544
GCD(1, 544) = 1
GCD of 528, 848, 431, 544 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 528, 848, 431, 544?
GCD of 528, 848, 431, 544 is 1
2. Where do I get the detailed procedure to find GCD of 528, 848, 431, 544?
You can find a detailed procedure to find GCD of 528, 848, 431, 544 on our page.
3. How to find GCD of 528, 848, 431, 544 on a calculator?
You can find the GCD of 528, 848, 431, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.