Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4857/776,3333/448
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 4857,3333
Greatest Common Factor of Numerators i.e. GCF of 4857,3333 is 3 .
LCM of Denominators means LCM of 776,448 as per the given fractions.
LCM of 776,448 is 43456 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4857,3333
3 | 4857, 3333 |
1619, 1111 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4857
List of positive integer factors of 4857 that divides 4857 without a remainder.
1,3,1619,4857
Factors of 3333
List of positive integer factors of 3333 that divides 3333 without a remainder.
1,3,11,33,101,303,1111,3333
Greatest Common Factor
We found the factors 4857,3333 . The biggest common factor number is the GCF number.
So the greatest common factor 4857,3333 is 3.
Lets's calculate LCM of 776,448
2 | 776, 448 |
2 | 388, 224 |
2 | 194, 112 |
97, 56 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 56 = 43456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43456
Therefore, the GCF of Fractions 4857/776,3333/448 is 3/43456
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 776,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,448) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(776,448) x common factors =8 x 1 = 8
LCM(776,448) = ( 776 × 448 ) / 8
LCM(776,448) = 347648 / 8
LCM(776,448) = 43456
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 4857/776, 3333/448?
Answer: GCF of Numerators as per given numbers 4857/776, 3333/448 is
GCF of Numerators i.e. for 4857,3333 is 3
LCM of denominators i.e. for 776,448 is 43456.
Thus, GCF of Fractions is 3/43456.Finally, GCF of Fractions for 4857/776, 3333/448 is 3/43456.