Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/73,913/6988
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 663,913
Greatest Common Factor of Numerators i.e. GCF of 663,913 is 1 .
LCM of Denominators means LCM of 73,6988 as per the given fractions.
LCM of 73,6988 is 510124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 663,913 . The biggest common factor number is the GCF number.
So the greatest common factor 663,913 is 1.
Lets's calculate LCM of 73,6988
Given numbers has no common factors except 1. So, there LCM is their product i.e 510124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/510124
Therefore, the GCF of Fractions 663/73,913/6988 is 1/510124
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 73,6988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,6988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,6988) x common factors =1 x 1 = 1
LCM(73,6988) = ( 73 × 6988 ) / 1
LCM(73,6988) = 510124 / 1
LCM(73,6988) = 510124
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 663/73, 913/6988?
Answer: GCF of Numerators as per given numbers 663/73, 913/6988 is
GCF of Numerators i.e. for 663,913 is 1
LCM of denominators i.e. for 73,6988 is 510124.
Thus, GCF of Fractions is 1/510124.Finally, GCF of Fractions for 663/73, 913/6988 is 1/510124.