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, 145, 914, 756 i.e. 1 largest integer that divides all the numbers equally.
GCD of 528, 145, 914, 756 is 1
GCD(528, 145, 914, 756) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 528, 145, 914, 756 is 1
GCD(528, 145, 914, 756) = 1
Given Input numbers are 528, 145, 914, 756
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 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Greatest Common Divisior
We found the divisors of 528, 145, 914, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 145, 914, 756 is 1.
Therefore, GCD of numbers 528, 145, 914, 756 is 1
Given Input Data is 528, 145, 914, 756
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 145 is 5 x 29
Prime Factorization of 914 is 2 x 457
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
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, 145) = 76560
GCD(528, 145) = ( 528 x 145 ) / 76560
GCD(528, 145) = 76560 / 76560
GCD(528, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 914
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
GCD(1, 914) = 914 / 914
GCD(1, 914) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 756
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
GCD(1, 756) = 756 / 756
GCD(1, 756) = 1
GCD of 528, 145, 914, 756 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 528, 145, 914, 756?
GCD of 528, 145, 914, 756 is 1
2. Where do I get the detailed procedure to find GCD of 528, 145, 914, 756?
You can find a detailed procedure to find GCD of 528, 145, 914, 756 on our page.
3. How to find GCD of 528, 145, 914, 756 on a calculator?
You can find the GCD of 528, 145, 914, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.