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 548, 560, 831, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 560, 831, 122 is 1
GCD(548, 560, 831, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 560, 831, 122 is 1
GCD(548, 560, 831, 122) = 1
Given Input numbers are 548, 560, 831, 122
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Greatest Common Divisior
We found the divisors of 548, 560, 831, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 560, 831, 122 is 1.
Therefore, GCD of numbers 548, 560, 831, 122 is 1
Given Input Data is 548, 560, 831, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 831 is 3 x 277
Prime Factorization of 122 is 2 x 61
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(548, 560) = 76720
GCD(548, 560) = ( 548 x 560 ) / 76720
GCD(548, 560) = 306880 / 76720
GCD(548, 560) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 831) = 3324
GCD(4, 831) = ( 4 x 831 ) / 3324
GCD(4, 831) = 3324 / 3324
GCD(4, 831) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
GCD of 548, 560, 831, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 560, 831, 122?
GCD of 548, 560, 831, 122 is 1
2. Where do I get the detailed procedure to find GCD of 548, 560, 831, 122?
You can find a detailed procedure to find GCD of 548, 560, 831, 122 on our page.
3. How to find GCD of 548, 560, 831, 122 on a calculator?
You can find the GCD of 548, 560, 831, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.