Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/478,5118/9283
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 63,5118
Greatest Common Factor of Numerators i.e. GCF of 63,5118 is 3 .
LCM of Denominators means LCM of 478,9283 as per the given fractions.
LCM of 478,9283 is 4437274 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,5118
3 | 63, 5118 |
21, 1706 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 5118
List of positive integer factors of 5118 that divides 5118 without a remainder.
1,2,3,6,853,1706,2559,5118
Greatest Common Factor
We found the factors 63,5118 . The biggest common factor number is the GCF number.
So the greatest common factor 63,5118 is 3.
Lets's calculate LCM of 478,9283
Given numbers has no common factors except 1. So, there LCM is their product i.e 4437274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4437274
Therefore, the GCF of Fractions 63/478,5118/9283 is 3/4437274
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 478,9283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,9283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,9283) x common factors =1 x 1 = 1
LCM(478,9283) = ( 478 × 9283 ) / 1
LCM(478,9283) = 4437274 / 1
LCM(478,9283) = 4437274
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 63/478, 5118/9283?
Answer: GCF of Numerators as per given numbers 63/478, 5118/9283 is
GCF of Numerators i.e. for 63,5118 is 3
LCM of denominators i.e. for 478,9283 is 4437274.
Thus, GCF of Fractions is 3/4437274.Finally, GCF of Fractions for 63/478, 5118/9283 is 3/4437274.