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, 461, 429, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 461, 429, 923 is 1
GCD(548, 461, 429, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 461, 429, 923 is 1
GCD(548, 461, 429, 923) = 1
Given Input numbers are 548, 461, 429, 923
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 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 548, 461, 429, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 461, 429, 923 is 1.
Therefore, GCD of numbers 548, 461, 429, 923 is 1
Given Input Data is 548, 461, 429, 923
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 461 is 461
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 923 is 13 x 71
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, 461) = 252628
GCD(548, 461) = ( 548 x 461 ) / 252628
GCD(548, 461) = 252628 / 252628
GCD(548, 461) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
GCD(1, 429) = 429 / 429
GCD(1, 429) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
GCD of 548, 461, 429, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 461, 429, 923?
GCD of 548, 461, 429, 923 is 1
2. Where do I get the detailed procedure to find GCD of 548, 461, 429, 923?
You can find a detailed procedure to find GCD of 548, 461, 429, 923 on our page.
3. How to find GCD of 548, 461, 429, 923 on a calculator?
You can find the GCD of 548, 461, 429, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.