Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 286/479,4608/164
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 286,4608
Greatest Common Factor of Numerators i.e. GCF of 286,4608 is 2 .
LCM of Denominators means LCM of 479,164 as per the given fractions.
LCM of 479,164 is 78556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 286,4608
2 | 286, 4608 |
143, 2304 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 4608
List of positive integer factors of 4608 that divides 4608 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1152,1536,2304,4608
Greatest Common Factor
We found the factors 286,4608 . The biggest common factor number is the GCF number.
So the greatest common factor 286,4608 is 2.
Lets's calculate LCM of 479,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 78556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78556
Therefore, the GCF of Fractions 286/479,4608/164 is 2/78556
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 479,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,164) x common factors =1 x 1 = 1
LCM(479,164) = ( 479 × 164 ) / 1
LCM(479,164) = 78556 / 1
LCM(479,164) = 78556
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 286/479, 4608/164?
Answer: GCF of Numerators as per given numbers 286/479, 4608/164 is
GCF of Numerators i.e. for 286,4608 is 2
LCM of denominators i.e. for 479,164 is 78556.
Thus, GCF of Fractions is 2/78556.Finally, GCF of Fractions for 286/479, 4608/164 is 2/78556.