Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5166/457,8288/8925
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 5166,8288
Greatest Common Factor of Numerators i.e. GCF of 5166,8288 is 14 .
LCM of Denominators means LCM of 457,8925 as per the given fractions.
LCM of 457,8925 is 4078725 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5166,8288
2 | 5166, 8288 |
7 | 2583, 4144 |
369, 592 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 5166
List of positive integer factors of 5166 that divides 5166 without a remainder.
1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166
Factors of 8288
List of positive integer factors of 8288 that divides 8288 without a remainder.
1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288
Greatest Common Factor
We found the factors 5166,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 5166,8288 is 14.
Lets's calculate LCM of 457,8925
Given numbers has no common factors except 1. So, there LCM is their product i.e 4078725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/4078725
Therefore, the GCF of Fractions 5166/457,8288/8925 is 14/4078725
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 457,8925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,8925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,8925) x common factors =1 x 1 = 1
LCM(457,8925) = ( 457 × 8925 ) / 1
LCM(457,8925) = 4078725 / 1
LCM(457,8925) = 4078725
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 5166/457, 8288/8925?
Answer: GCF of Numerators as per given numbers 5166/457, 8288/8925 is
GCF of Numerators i.e. for 5166,8288 is 14
LCM of denominators i.e. for 457,8925 is 4078725.
Thus, GCF of Fractions is 14/4078725.Finally, GCF of Fractions for 5166/457, 8288/8925 is 14/4078725.