Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3518/13,6527/103
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 3518,6527
Greatest Common Factor of Numerators i.e. GCF of 3518,6527 is 1 .
LCM of Denominators means LCM of 13,103 as per the given fractions.
LCM of 13,103 is 1339 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3518,6527
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3518
List of positive integer factors of 3518 that divides 3518 without a remainder.
1,2,1759,3518
Factors of 6527
List of positive integer factors of 6527 that divides 6527 without a remainder.
1,61,107,6527
Greatest Common Factor
We found the factors 3518,6527 . The biggest common factor number is the GCF number.
So the greatest common factor 3518,6527 is 1.
Lets's calculate LCM of 13,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 1339
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1339
Therefore, the GCF of Fractions 3518/13,6527/103 is 1/1339
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 13,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,103) x common factors =1 x 1 = 1
LCM(13,103) = ( 13 × 103 ) / 1
LCM(13,103) = 1339 / 1
LCM(13,103) = 1339
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 3518/13, 6527/103?
Answer: GCF of Numerators as per given numbers 3518/13, 6527/103 is
GCF of Numerators i.e. for 3518,6527 is 1
LCM of denominators i.e. for 13,103 is 1339.
Thus, GCF of Fractions is 1/1339.Finally, GCF of Fractions for 3518/13, 6527/103 is 1/1339.