Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 994/513,4348/975
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 994,4348
Greatest Common Factor of Numerators i.e. GCF of 994,4348 is 2 .
LCM of Denominators means LCM of 513,975 as per the given fractions.
LCM of 513,975 is 166725 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 994,4348
2 | 994, 4348 |
497, 2174 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 4348
List of positive integer factors of 4348 that divides 4348 without a remainder.
1,2,4,1087,2174,4348
Greatest Common Factor
We found the factors 994,4348 . The biggest common factor number is the GCF number.
So the greatest common factor 994,4348 is 2.
Lets's calculate LCM of 513,975
3 | 513, 975 |
171, 325 |
∴ So the LCM of the given numbers is 3 x 171 x 325 = 166725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166725
Therefore, the GCF of Fractions 994/513,4348/975 is 2/166725
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 513,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,975) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,975) x common factors =3 x 1 = 3
LCM(513,975) = ( 513 × 975 ) / 3
LCM(513,975) = 500175 / 3
LCM(513,975) = 166725
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 994/513, 4348/975?
Answer: GCF of Numerators as per given numbers 994/513, 4348/975 is
GCF of Numerators i.e. for 994,4348 is 2
LCM of denominators i.e. for 513,975 is 166725.
Thus, GCF of Fractions is 2/166725.Finally, GCF of Fractions for 994/513, 4348/975 is 2/166725.