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 444, 646, 98, 148 i.e. 2 largest integer that divides all the numbers equally.
GCD of 444, 646, 98, 148 is 2
GCD(444, 646, 98, 148) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 646, 98, 148 is 2
GCD(444, 646, 98, 148) = 2
Given Input numbers are 444, 646, 98, 148
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Greatest Common Divisior
We found the divisors of 444, 646, 98, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 646, 98, 148 is 2.
Therefore, GCD of numbers 444, 646, 98, 148 is 2
Given Input Data is 444, 646, 98, 148
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 148 is 2 x 2 x 37
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(444, 646) = 143412
GCD(444, 646) = ( 444 x 646 ) / 143412
GCD(444, 646) = 286824 / 143412
GCD(444, 646) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 98) = 98
GCD(2, 98) = ( 2 x 98 ) / 98
GCD(2, 98) = 196 / 98
GCD(2, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
GCD(2, 148) = 296 / 148
GCD(2, 148) = 2
GCD of 444, 646, 98, 148 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 646, 98, 148?
GCD of 444, 646, 98, 148 is 2
2. Where do I get the detailed procedure to find GCD of 444, 646, 98, 148?
You can find a detailed procedure to find GCD of 444, 646, 98, 148 on our page.
3. How to find GCD of 444, 646, 98, 148 on a calculator?
You can find the GCD of 444, 646, 98, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.