Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4587/328,7266/4808
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 4587,7266
Greatest Common Factor of Numerators i.e. GCF of 4587,7266 is 3 .
LCM of Denominators means LCM of 328,4808 as per the given fractions.
LCM of 328,4808 is 197128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4587,7266
3 | 4587, 7266 |
1529, 2422 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4587
List of positive integer factors of 4587 that divides 4587 without a remainder.
1,3,11,33,139,417,1529,4587
Factors of 7266
List of positive integer factors of 7266 that divides 7266 without a remainder.
1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266
Greatest Common Factor
We found the factors 4587,7266 . The biggest common factor number is the GCF number.
So the greatest common factor 4587,7266 is 3.
Lets's calculate LCM of 328,4808
2 | 328, 4808 |
2 | 164, 2404 |
2 | 82, 1202 |
41, 601 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 601 = 197128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/197128
Therefore, the GCF of Fractions 4587/328,7266/4808 is 3/197128
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 328,4808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,4808) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(328,4808) x common factors =8 x 1 = 8
LCM(328,4808) = ( 328 × 4808 ) / 8
LCM(328,4808) = 1577024 / 8
LCM(328,4808) = 197128
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 4587/328, 7266/4808?
Answer: GCF of Numerators as per given numbers 4587/328, 7266/4808 is
GCF of Numerators i.e. for 4587,7266 is 3
LCM of denominators i.e. for 328,4808 is 197128.
Thus, GCF of Fractions is 3/197128.Finally, GCF of Fractions for 4587/328, 7266/4808 is 3/197128.