Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/166,8109/9616
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 424,8109
Greatest Common Factor of Numerators i.e. GCF of 424,8109 is 53 .
LCM of Denominators means LCM of 166,9616 as per the given fractions.
LCM of 166,9616 is 798128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 424,8109
53 | 424, 8109 |
8, 153 |
∴ So the GCF of the given numbers is 53 = 53
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 8109
List of positive integer factors of 8109 that divides 8109 without a remainder.
1,3,9,17,51,53,153,159,477,901,2703,8109
Greatest Common Factor
We found the factors 424,8109 . The biggest common factor number is the GCF number.
So the greatest common factor 424,8109 is 53.
Lets's calculate LCM of 166,9616
2 | 166, 9616 |
83, 4808 |
∴ So the LCM of the given numbers is 2 x 83 x 4808 = 798128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/798128
Therefore, the GCF of Fractions 424/166,8109/9616 is 53/798128
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 166,9616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,9616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,9616) x common factors =2 x 1 = 2
LCM(166,9616) = ( 166 × 9616 ) / 2
LCM(166,9616) = 1596256 / 2
LCM(166,9616) = 798128
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 424/166, 8109/9616?
Answer: GCF of Numerators as per given numbers 424/166, 8109/9616 is
GCF of Numerators i.e. for 424,8109 is 53
LCM of denominators i.e. for 166,9616 is 798128.
Thus, GCF of Fractions is 53/798128.Finally, GCF of Fractions for 424/166, 8109/9616 is 53/798128.