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 428, 549, 752, 658 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 549, 752, 658 is 1
GCD(428, 549, 752, 658) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 549, 752, 658 is 1
GCD(428, 549, 752, 658) = 1
Given Input numbers are 428, 549, 752, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 428, 549, 752, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 549, 752, 658 is 1.
Therefore, GCD of numbers 428, 549, 752, 658 is 1
Given Input Data is 428, 549, 752, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 658 is 2 x 7 x 47
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(428, 549) = 234972
GCD(428, 549) = ( 428 x 549 ) / 234972
GCD(428, 549) = 234972 / 234972
GCD(428, 549) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
GCD(1, 752) = 752 / 752
GCD(1, 752) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
GCD(1, 658) = 658 / 658
GCD(1, 658) = 1
GCD of 428, 549, 752, 658 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 549, 752, 658?
GCD of 428, 549, 752, 658 is 1
2. Where do I get the detailed procedure to find GCD of 428, 549, 752, 658?
You can find a detailed procedure to find GCD of 428, 549, 752, 658 on our page.
3. How to find GCD of 428, 549, 752, 658 on a calculator?
You can find the GCD of 428, 549, 752, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.