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, 448, 769, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 448, 769, 962 is 1
GCD(522, 448, 769, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 448, 769, 962 is 1
GCD(522, 448, 769, 962) = 1
Given Input numbers are 522, 448, 769, 962
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 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 522, 448, 769, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 448, 769, 962 is 1.
Therefore, GCD of numbers 522, 448, 769, 962 is 1
Given Input Data is 522, 448, 769, 962
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 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 769 is 769
Prime Factorization of 962 is 2 x 13 x 37
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(522, 448) = 116928
GCD(522, 448) = ( 522 x 448 ) / 116928
GCD(522, 448) = 233856 / 116928
GCD(522, 448) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 769) = 1538
GCD(2, 769) = ( 2 x 769 ) / 1538
GCD(2, 769) = 1538 / 1538
GCD(2, 769) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 522, 448, 769, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 448, 769, 962?
GCD of 522, 448, 769, 962 is 1
2. Where do I get the detailed procedure to find GCD of 522, 448, 769, 962?
You can find a detailed procedure to find GCD of 522, 448, 769, 962 on our page.
3. How to find GCD of 522, 448, 769, 962 on a calculator?
You can find the GCD of 522, 448, 769, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.