Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7117/472,7361/1816
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 7117,7361
Greatest Common Factor of Numerators i.e. GCF of 7117,7361 is 1 .
LCM of Denominators means LCM of 472,1816 as per the given fractions.
LCM of 472,1816 is 107144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7117,7361
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7117
List of positive integer factors of 7117 that divides 7117 without a remainder.
1,11,647,7117
Factors of 7361
List of positive integer factors of 7361 that divides 7361 without a remainder.
1,17,433,7361
Greatest Common Factor
We found the factors 7117,7361 . The biggest common factor number is the GCF number.
So the greatest common factor 7117,7361 is 1.
Lets's calculate LCM of 472,1816
2 | 472, 1816 |
2 | 236, 908 |
2 | 118, 454 |
59, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 227 = 107144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107144
Therefore, the GCF of Fractions 7117/472,7361/1816 is 1/107144
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 472,1816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,1816) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(472,1816) x common factors =8 x 1 = 8
LCM(472,1816) = ( 472 × 1816 ) / 8
LCM(472,1816) = 857152 / 8
LCM(472,1816) = 107144
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 7117/472, 7361/1816?
Answer: GCF of Numerators as per given numbers 7117/472, 7361/1816 is
GCF of Numerators i.e. for 7117,7361 is 1
LCM of denominators i.e. for 472,1816 is 107144.
Thus, GCF of Fractions is 1/107144.Finally, GCF of Fractions for 7117/472, 7361/1816 is 1/107144.