Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7485/13,3991/502
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 7485,3991
Greatest Common Factor of Numerators i.e. GCF of 7485,3991 is 1 .
LCM of Denominators means LCM of 13,502 as per the given fractions.
LCM of 13,502 is 6526 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7485,3991
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7485
List of positive integer factors of 7485 that divides 7485 without a remainder.
1,3,5,15,499,1497,2495,7485
Factors of 3991
List of positive integer factors of 3991 that divides 3991 without a remainder.
1,13,307,3991
Greatest Common Factor
We found the factors 7485,3991 . The biggest common factor number is the GCF number.
So the greatest common factor 7485,3991 is 1.
Lets's calculate LCM of 13,502
Given numbers has no common factors except 1. So, there LCM is their product i.e 6526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6526
Therefore, the GCF of Fractions 7485/13,3991/502 is 1/6526
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 13,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,502) x common factors =1 x 1 = 1
LCM(13,502) = ( 13 × 502 ) / 1
LCM(13,502) = 6526 / 1
LCM(13,502) = 6526
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 7485/13, 3991/502?
Answer: GCF of Numerators as per given numbers 7485/13, 3991/502 is
GCF of Numerators i.e. for 7485,3991 is 1
LCM of denominators i.e. for 13,502 is 6526.
Thus, GCF of Fractions is 1/6526.Finally, GCF of Fractions for 7485/13, 3991/502 is 1/6526.