Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/949,788/889,872/448
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 348,788,872
Greatest Common Factor of Numerators i.e. GCF of 348,788,872 is 4 .
LCM of Denominators means LCM of 949,889,448 as per the given fractions.
LCM of 949,889,448 is 53994304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 348,788,872
2 | 348, 788, 872 |
2 | 174, 394, 436 |
87, 197, 218 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 348,788,872 . The biggest common factor number is the GCF number.
So the greatest common factor 348,788,872 is 4.
Lets's calculate LCM of 949,889,448
7 | 949, 889, 448 |
949, 127, 64 |
∴ So the LCM of the given numbers is 7 x 949 x 127 x 64 = 53994304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/53994304
Therefore, the GCF of Fractions 348/949,788/889,872/448 is 4/53994304
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 949,889,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,889,448) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(949,889,448) x common factors =1 x 7 = 7
LCM(949,889,448) = ( 949 × 889 × 448 ) / 7
LCM(949,889,448) = 377960128 / 7
LCM(949,889,448) = 53994304
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 348/949, 788/889, 872/448?
Answer: GCF of Numerators as per given numbers 348/949, 788/889, 872/448 is
GCF of Numerators i.e. for 348,788,872 is 4
LCM of denominators i.e. for 949,889,448 is 53994304.
Thus, GCF of Fractions is 4/53994304.Finally, GCF of Fractions for 348/949, 788/889, 872/448 is 4/53994304.