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 753, 549, 69, 222 i.e. 3 largest integer that divides all the numbers equally.
GCD of 753, 549, 69, 222 is 3
GCD(753, 549, 69, 222) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 753, 549, 69, 222 is 3
GCD(753, 549, 69, 222) = 3
Given Input numbers are 753, 549, 69, 222
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Greatest Common Divisior
We found the divisors of 753, 549, 69, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 549, 69, 222 is 3.
Therefore, GCD of numbers 753, 549, 69, 222 is 3
Given Input Data is 753, 549, 69, 222
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 753 is 3 x 251
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 69 is 3 x 23
Prime Factorization of 222 is 2 x 3 x 37
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(753, 549) = 137799
GCD(753, 549) = ( 753 x 549 ) / 137799
GCD(753, 549) = 413397 / 137799
GCD(753, 549) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 69) = 69
GCD(3, 69) = ( 3 x 69 ) / 69
GCD(3, 69) = 207 / 69
GCD(3, 69) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 222) = 222
GCD(3, 222) = ( 3 x 222 ) / 222
GCD(3, 222) = 666 / 222
GCD(3, 222) = 3
GCD of 753, 549, 69, 222 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 753, 549, 69, 222?
GCD of 753, 549, 69, 222 is 3
2. Where do I get the detailed procedure to find GCD of 753, 549, 69, 222?
You can find a detailed procedure to find GCD of 753, 549, 69, 222 on our page.
3. How to find GCD of 753, 549, 69, 222 on a calculator?
You can find the GCD of 753, 549, 69, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.