Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5249/19,1263/480
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 5249,1263
Greatest Common Factor of Numerators i.e. GCF of 5249,1263 is 1 .
LCM of Denominators means LCM of 19,480 as per the given fractions.
LCM of 19,480 is 9120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5249,1263
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5249
List of positive integer factors of 5249 that divides 5249 without a remainder.
1,29,181,5249
Factors of 1263
List of positive integer factors of 1263 that divides 1263 without a remainder.
1,3,421,1263
Greatest Common Factor
We found the factors 5249,1263 . The biggest common factor number is the GCF number.
So the greatest common factor 5249,1263 is 1.
Lets's calculate LCM of 19,480
Given numbers has no common factors except 1. So, there LCM is their product i.e 9120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9120
Therefore, the GCF of Fractions 5249/19,1263/480 is 1/9120
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 19,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,480) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,480) x common factors =1 x 1 = 1
LCM(19,480) = ( 19 × 480 ) / 1
LCM(19,480) = 9120 / 1
LCM(19,480) = 9120
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 5249/19, 1263/480?
Answer: GCF of Numerators as per given numbers 5249/19, 1263/480 is
GCF of Numerators i.e. for 5249,1263 is 1
LCM of denominators i.e. for 19,480 is 9120.
Thus, GCF of Fractions is 1/9120.Finally, GCF of Fractions for 5249/19, 1263/480 is 1/9120.