Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8411/53,9377/896
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 8411,9377
Greatest Common Factor of Numerators i.e. GCF of 8411,9377 is 1 .
LCM of Denominators means LCM of 53,896 as per the given fractions.
LCM of 53,896 is 47488 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8411,9377
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8411
List of positive integer factors of 8411 that divides 8411 without a remainder.
1,13,647,8411
Factors of 9377
List of positive integer factors of 9377 that divides 9377 without a remainder.
1,9377
Greatest Common Factor
We found the factors 8411,9377 . The biggest common factor number is the GCF number.
So the greatest common factor 8411,9377 is 1.
Lets's calculate LCM of 53,896
Given numbers has no common factors except 1. So, there LCM is their product i.e 47488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47488
Therefore, the GCF of Fractions 8411/53,9377/896 is 1/47488
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 53,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,896) x common factors =1 x 1 = 1
LCM(53,896) = ( 53 × 896 ) / 1
LCM(53,896) = 47488 / 1
LCM(53,896) = 47488
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 8411/53, 9377/896?
Answer: GCF of Numerators as per given numbers 8411/53, 9377/896 is
GCF of Numerators i.e. for 8411,9377 is 1
LCM of denominators i.e. for 53,896 is 47488.
Thus, GCF of Fractions is 1/47488.Finally, GCF of Fractions for 8411/53, 9377/896 is 1/47488.