Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9847/127,4952/8477
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 9847,4952
Greatest Common Factor of Numerators i.e. GCF of 9847,4952 is 1 .
LCM of Denominators means LCM of 127,8477 as per the given fractions.
LCM of 127,8477 is 1076579 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9847,4952
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9847
List of positive integer factors of 9847 that divides 9847 without a remainder.
1,43,229,9847
Factors of 4952
List of positive integer factors of 4952 that divides 4952 without a remainder.
1,2,4,8,619,1238,2476,4952
Greatest Common Factor
We found the factors 9847,4952 . The biggest common factor number is the GCF number.
So the greatest common factor 9847,4952 is 1.
Lets's calculate LCM of 127,8477
Given numbers has no common factors except 1. So, there LCM is their product i.e 1076579
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1076579
Therefore, the GCF of Fractions 9847/127,4952/8477 is 1/1076579
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 127,8477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,8477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,8477) x common factors =1 x 1 = 1
LCM(127,8477) = ( 127 × 8477 ) / 1
LCM(127,8477) = 1076579 / 1
LCM(127,8477) = 1076579
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 9847/127, 4952/8477?
Answer: GCF of Numerators as per given numbers 9847/127, 4952/8477 is
GCF of Numerators i.e. for 9847,4952 is 1
LCM of denominators i.e. for 127,8477 is 1076579.
Thus, GCF of Fractions is 1/1076579.Finally, GCF of Fractions for 9847/127, 4952/8477 is 1/1076579.