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 522, 776, 32, 370 i.e. 2 largest integer that divides all the numbers equally.
GCD of 522, 776, 32, 370 is 2
GCD(522, 776, 32, 370) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 776, 32, 370 is 2
GCD(522, 776, 32, 370) = 2
Given Input numbers are 522, 776, 32, 370
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 522, 776, 32, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 776, 32, 370 is 2.
Therefore, GCD of numbers 522, 776, 32, 370 is 2
Given Input Data is 522, 776, 32, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 370 is 2 x 5 x 37
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(522, 776) = 202536
GCD(522, 776) = ( 522 x 776 ) / 202536
GCD(522, 776) = 405072 / 202536
GCD(522, 776) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 32) = 32
GCD(2, 32) = ( 2 x 32 ) / 32
GCD(2, 32) = 64 / 32
GCD(2, 32) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 370) = 370
GCD(2, 370) = ( 2 x 370 ) / 370
GCD(2, 370) = 740 / 370
GCD(2, 370) = 2
GCD of 522, 776, 32, 370 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 776, 32, 370?
GCD of 522, 776, 32, 370 is 2
2. Where do I get the detailed procedure to find GCD of 522, 776, 32, 370?
You can find a detailed procedure to find GCD of 522, 776, 32, 370 on our page.
3. How to find GCD of 522, 776, 32, 370 on a calculator?
You can find the GCD of 522, 776, 32, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.