Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 312/479,7711/7915
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 312,7711
Greatest Common Factor of Numerators i.e. GCF of 312,7711 is 1 .
LCM of Denominators means LCM of 479,7915 as per the given fractions.
LCM of 479,7915 is 3791285 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 312,7711
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 7711
List of positive integer factors of 7711 that divides 7711 without a remainder.
1,11,701,7711
Greatest Common Factor
We found the factors 312,7711 . The biggest common factor number is the GCF number.
So the greatest common factor 312,7711 is 1.
Lets's calculate LCM of 479,7915
Given numbers has no common factors except 1. So, there LCM is their product i.e 3791285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3791285
Therefore, the GCF of Fractions 312/479,7711/7915 is 1/3791285
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 479,7915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,7915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,7915) x common factors =1 x 1 = 1
LCM(479,7915) = ( 479 × 7915 ) / 1
LCM(479,7915) = 3791285 / 1
LCM(479,7915) = 3791285
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 312/479, 7711/7915?
Answer: GCF of Numerators as per given numbers 312/479, 7711/7915 is
GCF of Numerators i.e. for 312,7711 is 1
LCM of denominators i.e. for 479,7915 is 3791285.
Thus, GCF of Fractions is 1/3791285.Finally, GCF of Fractions for 312/479, 7711/7915 is 1/3791285.