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 948, 463, 986, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 463, 986, 135 is 1
GCD(948, 463, 986, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 463, 986, 135 is 1
GCD(948, 463, 986, 135) = 1
Given Input numbers are 948, 463, 986, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 948, 463, 986, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 463, 986, 135 is 1.
Therefore, GCD of numbers 948, 463, 986, 135 is 1
Given Input Data is 948, 463, 986, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 463 is 463
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 135 is 3 x 3 x 3 x 5
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(948, 463) = 438924
GCD(948, 463) = ( 948 x 463 ) / 438924
GCD(948, 463) = 438924 / 438924
GCD(948, 463) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
GCD(1, 986) = 986 / 986
GCD(1, 986) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 948, 463, 986, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 463, 986, 135?
GCD of 948, 463, 986, 135 is 1
2. Where do I get the detailed procedure to find GCD of 948, 463, 986, 135?
You can find a detailed procedure to find GCD of 948, 463, 986, 135 on our page.
3. How to find GCD of 948, 463, 986, 135 on a calculator?
You can find the GCD of 948, 463, 986, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.