Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5139/16,7013/481
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 5139,7013
Greatest Common Factor of Numerators i.e. GCF of 5139,7013 is 1 .
LCM of Denominators means LCM of 16,481 as per the given fractions.
LCM of 16,481 is 7696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5139,7013
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5139
List of positive integer factors of 5139 that divides 5139 without a remainder.
1,3,9,571,1713,5139
Factors of 7013
List of positive integer factors of 7013 that divides 7013 without a remainder.
1,7013
Greatest Common Factor
We found the factors 5139,7013 . The biggest common factor number is the GCF number.
So the greatest common factor 5139,7013 is 1.
Lets's calculate LCM of 16,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 7696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7696
Therefore, the GCF of Fractions 5139/16,7013/481 is 1/7696
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 16,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,481) x common factors =1 x 1 = 1
LCM(16,481) = ( 16 × 481 ) / 1
LCM(16,481) = 7696 / 1
LCM(16,481) = 7696
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 5139/16, 7013/481?
Answer: GCF of Numerators as per given numbers 5139/16, 7013/481 is
GCF of Numerators i.e. for 5139,7013 is 1
LCM of denominators i.e. for 16,481 is 7696.
Thus, GCF of Fractions is 1/7696.Finally, GCF of Fractions for 5139/16, 7013/481 is 1/7696.