Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/185,340/711,137/410
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 44,340,137
Greatest Common Factor of Numerators i.e. GCF of 44,340,137 is 1 .
LCM of Denominators means LCM of 185,711,410 as per the given fractions.
LCM of 185,711,410 is 10785870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,340,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 44,340,137 . The biggest common factor number is the GCF number.
So the greatest common factor 44,340,137 is 1.
Lets's calculate LCM of 185,711,410
5 | 185, 711, 410 |
37, 711, 82 |
∴ So the LCM of the given numbers is 5 x 37 x 711 x 82 = 10785870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10785870
Therefore, the GCF of Fractions 44/185,340/711,137/410 is 1/10785870
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 185,711,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,711,410) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(185,711,410) x common factors =1 x 5 = 5
LCM(185,711,410) = ( 185 × 711 × 410 ) / 5
LCM(185,711,410) = 53929350 / 5
LCM(185,711,410) = 10785870
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 44/185, 340/711, 137/410?
Answer: GCF of Numerators as per given numbers 44/185, 340/711, 137/410 is
GCF of Numerators i.e. for 44,340,137 is 1
LCM of denominators i.e. for 185,711,410 is 10785870.
Thus, GCF of Fractions is 1/10785870.Finally, GCF of Fractions for 44/185, 340/711, 137/410 is 1/10785870.