Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5066/862,6865/6591
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 5066,6865
Greatest Common Factor of Numerators i.e. GCF of 5066,6865 is 1 .
LCM of Denominators means LCM of 862,6591 as per the given fractions.
LCM of 862,6591 is 5681442 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5066,6865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5066
List of positive integer factors of 5066 that divides 5066 without a remainder.
1,2,17,34,149,298,2533,5066
Factors of 6865
List of positive integer factors of 6865 that divides 6865 without a remainder.
1,5,1373,6865
Greatest Common Factor
We found the factors 5066,6865 . The biggest common factor number is the GCF number.
So the greatest common factor 5066,6865 is 1.
Lets's calculate LCM of 862,6591
Given numbers has no common factors except 1. So, there LCM is their product i.e 5681442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5681442
Therefore, the GCF of Fractions 5066/862,6865/6591 is 1/5681442
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 862,6591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,6591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,6591) x common factors =1 x 1 = 1
LCM(862,6591) = ( 862 × 6591 ) / 1
LCM(862,6591) = 5681442 / 1
LCM(862,6591) = 5681442
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 5066/862, 6865/6591?
Answer: GCF of Numerators as per given numbers 5066/862, 6865/6591 is
GCF of Numerators i.e. for 5066,6865 is 1
LCM of denominators i.e. for 862,6591 is 5681442.
Thus, GCF of Fractions is 1/5681442.Finally, GCF of Fractions for 5066/862, 6865/6591 is 1/5681442.