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, 158, 348, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 158, 348, 969 is 1
GCD(428, 158, 348, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 158, 348, 969 is 1
GCD(428, 158, 348, 969) = 1
Given Input numbers are 428, 158, 348, 969
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 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 428, 158, 348, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 158, 348, 969 is 1.
Therefore, GCD of numbers 428, 158, 348, 969 is 1
Given Input Data is 428, 158, 348, 969
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 158 is 2 x 79
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 969 is 3 x 17 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(428, 158) = 33812
GCD(428, 158) = ( 428 x 158 ) / 33812
GCD(428, 158) = 67624 / 33812
GCD(428, 158) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
GCD(2, 348) = 696 / 348
GCD(2, 348) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 969) = 1938
GCD(2, 969) = ( 2 x 969 ) / 1938
GCD(2, 969) = 1938 / 1938
GCD(2, 969) = 1
GCD of 428, 158, 348, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 158, 348, 969?
GCD of 428, 158, 348, 969 is 1
2. Where do I get the detailed procedure to find GCD of 428, 158, 348, 969?
You can find a detailed procedure to find GCD of 428, 158, 348, 969 on our page.
3. How to find GCD of 428, 158, 348, 969 on a calculator?
You can find the GCD of 428, 158, 348, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.