Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5163/242,7295/7986
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 5163,7295
Greatest Common Factor of Numerators i.e. GCF of 5163,7295 is 1 .
LCM of Denominators means LCM of 242,7986 as per the given fractions.
LCM of 242,7986 is 7986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5163,7295
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5163
List of positive integer factors of 5163 that divides 5163 without a remainder.
1,3,1721,5163
Factors of 7295
List of positive integer factors of 7295 that divides 7295 without a remainder.
1,5,1459,7295
Greatest Common Factor
We found the factors 5163,7295 . The biggest common factor number is the GCF number.
So the greatest common factor 5163,7295 is 1.
Lets's calculate LCM of 242,7986
2 | 242, 7986 |
11 | 121, 3993 |
11 | 11, 363 |
1, 33 |
∴ So the LCM of the given numbers is 2 x 11 x 11 x 1 x 33 = 7986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7986
Therefore, the GCF of Fractions 5163/242,7295/7986 is 1/7986
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 242,7986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,7986) = 242
common factors(in case of two or more numbers have common factors) = 1
GCF(242,7986) x common factors =242 x 1 = 242
LCM(242,7986) = ( 242 × 7986 ) / 242
LCM(242,7986) = 1932612 / 242
LCM(242,7986) = 7986
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 5163/242, 7295/7986?
Answer: GCF of Numerators as per given numbers 5163/242, 7295/7986 is
GCF of Numerators i.e. for 5163,7295 is 1
LCM of denominators i.e. for 242,7986 is 7986.
Thus, GCF of Fractions is 1/7986.Finally, GCF of Fractions for 5163/242, 7295/7986 is 1/7986.