Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 131/92,265/5195
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 131,265
Greatest Common Factor of Numerators i.e. GCF of 131,265 is 1 .
LCM of Denominators means LCM of 92,5195 as per the given fractions.
LCM of 92,5195 is 477940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 131,265
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Greatest Common Factor
We found the factors 131,265 . The biggest common factor number is the GCF number.
So the greatest common factor 131,265 is 1.
Lets's calculate LCM of 92,5195
Given numbers has no common factors except 1. So, there LCM is their product i.e 477940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477940
Therefore, the GCF of Fractions 131/92,265/5195 is 1/477940
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 92,5195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,5195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,5195) x common factors =1 x 1 = 1
LCM(92,5195) = ( 92 × 5195 ) / 1
LCM(92,5195) = 477940 / 1
LCM(92,5195) = 477940
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 131/92, 265/5195?
Answer: GCF of Numerators as per given numbers 131/92, 265/5195 is
GCF of Numerators i.e. for 131,265 is 1
LCM of denominators i.e. for 92,5195 is 477940.
Thus, GCF of Fractions is 1/477940.Finally, GCF of Fractions for 131/92, 265/5195 is 1/477940.