Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4752/387,7739/7275
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 4752,7739
Greatest Common Factor of Numerators i.e. GCF of 4752,7739 is 1 .
LCM of Denominators means LCM of 387,7275 as per the given fractions.
LCM of 387,7275 is 938475 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4752,7739
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4752
List of positive integer factors of 4752 that divides 4752 without a remainder.
1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752
Factors of 7739
List of positive integer factors of 7739 that divides 7739 without a remainder.
1,71,109,7739
Greatest Common Factor
We found the factors 4752,7739 . The biggest common factor number is the GCF number.
So the greatest common factor 4752,7739 is 1.
Lets's calculate LCM of 387,7275
3 | 387, 7275 |
129, 2425 |
∴ So the LCM of the given numbers is 3 x 129 x 2425 = 938475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/938475
Therefore, the GCF of Fractions 4752/387,7739/7275 is 1/938475
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 387,7275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,7275) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(387,7275) x common factors =3 x 1 = 3
LCM(387,7275) = ( 387 × 7275 ) / 3
LCM(387,7275) = 2815425 / 3
LCM(387,7275) = 938475
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 4752/387, 7739/7275?
Answer: GCF of Numerators as per given numbers 4752/387, 7739/7275 is
GCF of Numerators i.e. for 4752,7739 is 1
LCM of denominators i.e. for 387,7275 is 938475.
Thus, GCF of Fractions is 1/938475.Finally, GCF of Fractions for 4752/387, 7739/7275 is 1/938475.