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 442, 588, 771, 548 i.e. 1 largest integer that divides all the numbers equally.
GCD of 442, 588, 771, 548 is 1
GCD(442, 588, 771, 548) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 588, 771, 548 is 1
GCD(442, 588, 771, 548) = 1
Given Input numbers are 442, 588, 771, 548
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Greatest Common Divisior
We found the divisors of 442, 588, 771, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 588, 771, 548 is 1.
Therefore, GCD of numbers 442, 588, 771, 548 is 1
Given Input Data is 442, 588, 771, 548
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 771 is 3 x 257
Prime Factorization of 548 is 2 x 2 x 137
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(442, 588) = 129948
GCD(442, 588) = ( 442 x 588 ) / 129948
GCD(442, 588) = 259896 / 129948
GCD(442, 588) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 771) = 1542
GCD(2, 771) = ( 2 x 771 ) / 1542
GCD(2, 771) = 1542 / 1542
GCD(2, 771) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
GCD(1, 548) = 548 / 548
GCD(1, 548) = 1
GCD of 442, 588, 771, 548 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 588, 771, 548?
GCD of 442, 588, 771, 548 is 1
2. Where do I get the detailed procedure to find GCD of 442, 588, 771, 548?
You can find a detailed procedure to find GCD of 442, 588, 771, 548 on our page.
3. How to find GCD of 442, 588, 771, 548 on a calculator?
You can find the GCD of 442, 588, 771, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.