Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4808/746,4150/3687
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 4808,4150
Greatest Common Factor of Numerators i.e. GCF of 4808,4150 is 2 .
LCM of Denominators means LCM of 746,3687 as per the given fractions.
LCM of 746,3687 is 2750502 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4808,4150
2 | 4808, 4150 |
2404, 2075 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4808
List of positive integer factors of 4808 that divides 4808 without a remainder.
1,2,4,8,601,1202,2404,4808
Factors of 4150
List of positive integer factors of 4150 that divides 4150 without a remainder.
1,2,5,10,25,50,83,166,415,830,2075,4150
Greatest Common Factor
We found the factors 4808,4150 . The biggest common factor number is the GCF number.
So the greatest common factor 4808,4150 is 2.
Lets's calculate LCM of 746,3687
Given numbers has no common factors except 1. So, there LCM is their product i.e 2750502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2750502
Therefore, the GCF of Fractions 4808/746,4150/3687 is 2/2750502
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 746,3687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,3687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,3687) x common factors =1 x 1 = 1
LCM(746,3687) = ( 746 × 3687 ) / 1
LCM(746,3687) = 2750502 / 1
LCM(746,3687) = 2750502
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 4808/746, 4150/3687?
Answer: GCF of Numerators as per given numbers 4808/746, 4150/3687 is
GCF of Numerators i.e. for 4808,4150 is 2
LCM of denominators i.e. for 746,3687 is 2750502.
Thus, GCF of Fractions is 2/2750502.Finally, GCF of Fractions for 4808/746, 4150/3687 is 2/2750502.