Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/449,4392/1870
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 14,4392
Greatest Common Factor of Numerators i.e. GCF of 14,4392 is 2 .
LCM of Denominators means LCM of 449,1870 as per the given fractions.
LCM of 449,1870 is 839630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,4392
2 | 14, 4392 |
7, 2196 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 4392
List of positive integer factors of 4392 that divides 4392 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392
Greatest Common Factor
We found the factors 14,4392 . The biggest common factor number is the GCF number.
So the greatest common factor 14,4392 is 2.
Lets's calculate LCM of 449,1870
Given numbers has no common factors except 1. So, there LCM is their product i.e 839630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/839630
Therefore, the GCF of Fractions 14/449,4392/1870 is 2/839630
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 449,1870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,1870) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,1870) x common factors =1 x 1 = 1
LCM(449,1870) = ( 449 × 1870 ) / 1
LCM(449,1870) = 839630 / 1
LCM(449,1870) = 839630
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 14/449, 4392/1870?
Answer: GCF of Numerators as per given numbers 14/449, 4392/1870 is
GCF of Numerators i.e. for 14,4392 is 2
LCM of denominators i.e. for 449,1870 is 839630.
Thus, GCF of Fractions is 2/839630.Finally, GCF of Fractions for 14/449, 4392/1870 is 2/839630.