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 234, 548, 753, 418 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 548, 753, 418 is 1
GCD(234, 548, 753, 418) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 548, 753, 418 is 1
GCD(234, 548, 753, 418) = 1
Given Input numbers are 234, 548, 753, 418
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Greatest Common Divisior
We found the divisors of 234, 548, 753, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 548, 753, 418 is 1.
Therefore, GCD of numbers 234, 548, 753, 418 is 1
Given Input Data is 234, 548, 753, 418
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 753 is 3 x 251
Prime Factorization of 418 is 2 x 11 x 19
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(234, 548) = 64116
GCD(234, 548) = ( 234 x 548 ) / 64116
GCD(234, 548) = 128232 / 64116
GCD(234, 548) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 753) = 1506
GCD(2, 753) = ( 2 x 753 ) / 1506
GCD(2, 753) = 1506 / 1506
GCD(2, 753) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
GCD of 234, 548, 753, 418 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 548, 753, 418?
GCD of 234, 548, 753, 418 is 1
2. Where do I get the detailed procedure to find GCD of 234, 548, 753, 418?
You can find a detailed procedure to find GCD of 234, 548, 753, 418 on our page.
3. How to find GCD of 234, 548, 753, 418 on a calculator?
You can find the GCD of 234, 548, 753, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.