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 984, 548, 148, 358 i.e. 2 largest integer that divides all the numbers equally.
GCD of 984, 548, 148, 358 is 2
GCD(984, 548, 148, 358) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 548, 148, 358 is 2
GCD(984, 548, 148, 358) = 2
Given Input numbers are 984, 548, 148, 358
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Greatest Common Divisior
We found the divisors of 984, 548, 148, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 548, 148, 358 is 2.
Therefore, GCD of numbers 984, 548, 148, 358 is 2
Given Input Data is 984, 548, 148, 358
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 358 is 2 x 179
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(984, 548) = 134808
GCD(984, 548) = ( 984 x 548 ) / 134808
GCD(984, 548) = 539232 / 134808
GCD(984, 548) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 148) = 148
GCD(4, 148) = ( 4 x 148 ) / 148
GCD(4, 148) = 592 / 148
GCD(4, 148) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 358) = 716
GCD(4, 358) = ( 4 x 358 ) / 716
GCD(4, 358) = 1432 / 716
GCD(4, 358) = 2
GCD of 984, 548, 148, 358 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 984, 548, 148, 358?
GCD of 984, 548, 148, 358 is 2
2. Where do I get the detailed procedure to find GCD of 984, 548, 148, 358?
You can find a detailed procedure to find GCD of 984, 548, 148, 358 on our page.
3. How to find GCD of 984, 548, 148, 358 on a calculator?
You can find the GCD of 984, 548, 148, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.