Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 947/538,7811/281
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 947,7811
Greatest Common Factor of Numerators i.e. GCF of 947,7811 is 1 .
LCM of Denominators means LCM of 538,281 as per the given fractions.
LCM of 538,281 is 151178 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 947,7811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 7811
List of positive integer factors of 7811 that divides 7811 without a remainder.
1,73,107,7811
Greatest Common Factor
We found the factors 947,7811 . The biggest common factor number is the GCF number.
So the greatest common factor 947,7811 is 1.
Lets's calculate LCM of 538,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 151178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151178
Therefore, the GCF of Fractions 947/538,7811/281 is 1/151178
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 538,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(538,281) x common factors =1 x 1 = 1
LCM(538,281) = ( 538 × 281 ) / 1
LCM(538,281) = 151178 / 1
LCM(538,281) = 151178
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 947/538, 7811/281?
Answer: GCF of Numerators as per given numbers 947/538, 7811/281 is
GCF of Numerators i.e. for 947,7811 is 1
LCM of denominators i.e. for 538,281 is 151178.
Thus, GCF of Fractions is 1/151178.Finally, GCF of Fractions for 947/538, 7811/281 is 1/151178.