Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 299/147,7603/481
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 299,7603
Greatest Common Factor of Numerators i.e. GCF of 299,7603 is 1 .
LCM of Denominators means LCM of 147,481 as per the given fractions.
LCM of 147,481 is 70707 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 299,7603
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 7603
List of positive integer factors of 7603 that divides 7603 without a remainder.
1,7603
Greatest Common Factor
We found the factors 299,7603 . The biggest common factor number is the GCF number.
So the greatest common factor 299,7603 is 1.
Lets's calculate LCM of 147,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 70707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70707
Therefore, the GCF of Fractions 299/147,7603/481 is 1/70707
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 147,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,481) x common factors =1 x 1 = 1
LCM(147,481) = ( 147 × 481 ) / 1
LCM(147,481) = 70707 / 1
LCM(147,481) = 70707
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 299/147, 7603/481?
Answer: GCF of Numerators as per given numbers 299/147, 7603/481 is
GCF of Numerators i.e. for 299,7603 is 1
LCM of denominators i.e. for 147,481 is 70707.
Thus, GCF of Fractions is 1/70707.Finally, GCF of Fractions for 299/147, 7603/481 is 1/70707.