Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/397,301/594,886/308
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 748,301,886
Greatest Common Factor of Numerators i.e. GCF of 748,301,886 is 1 .
LCM of Denominators means LCM of 397,594,308 as per the given fractions.
LCM of 397,594,308 is 3301452 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 748,301,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 748,301,886 . The biggest common factor number is the GCF number.
So the greatest common factor 748,301,886 is 1.
Lets's calculate LCM of 397,594,308
2 | 397, 594, 308 |
11 | 397, 297, 154 |
397, 27, 14 |
∴ So the LCM of the given numbers is 2 x 11 x 397 x 27 x 14 = 3301452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3301452
Therefore, the GCF of Fractions 748/397,301/594,886/308 is 1/3301452
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 397,594,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,594,308) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(397,594,308) x common factors =1 x 22 = 22
LCM(397,594,308) = ( 397 × 594 × 308 ) / 22
LCM(397,594,308) = 72631944 / 22
LCM(397,594,308) = 3301452
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 748/397, 301/594, 886/308?
Answer: GCF of Numerators as per given numbers 748/397, 301/594, 886/308 is
GCF of Numerators i.e. for 748,301,886 is 1
LCM of denominators i.e. for 397,594,308 is 3301452.
Thus, GCF of Fractions is 1/3301452.Finally, GCF of Fractions for 748/397, 301/594, 886/308 is 1/3301452.