Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4948/745,5249/257
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 4948,5249
Greatest Common Factor of Numerators i.e. GCF of 4948,5249 is 1 .
LCM of Denominators means LCM of 745,257 as per the given fractions.
LCM of 745,257 is 191465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4948,5249
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4948
List of positive integer factors of 4948 that divides 4948 without a remainder.
1,2,4,1237,2474,4948
Factors of 5249
List of positive integer factors of 5249 that divides 5249 without a remainder.
1,29,181,5249
Greatest Common Factor
We found the factors 4948,5249 . The biggest common factor number is the GCF number.
So the greatest common factor 4948,5249 is 1.
Lets's calculate LCM of 745,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 191465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191465
Therefore, the GCF of Fractions 4948/745,5249/257 is 1/191465
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 745,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,257) x common factors =1 x 1 = 1
LCM(745,257) = ( 745 × 257 ) / 1
LCM(745,257) = 191465 / 1
LCM(745,257) = 191465
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 4948/745, 5249/257?
Answer: GCF of Numerators as per given numbers 4948/745, 5249/257 is
GCF of Numerators i.e. for 4948,5249 is 1
LCM of denominators i.e. for 745,257 is 191465.
Thus, GCF of Fractions is 1/191465.Finally, GCF of Fractions for 4948/745, 5249/257 is 1/191465.