Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4753/887,9985/317
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 4753,9985
Greatest Common Factor of Numerators i.e. GCF of 4753,9985 is 1 .
LCM of Denominators means LCM of 887,317 as per the given fractions.
LCM of 887,317 is 281179 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4753,9985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4753
List of positive integer factors of 4753 that divides 4753 without a remainder.
1,7,49,97,679,4753
Factors of 9985
List of positive integer factors of 9985 that divides 9985 without a remainder.
1,5,1997,9985
Greatest Common Factor
We found the factors 4753,9985 . The biggest common factor number is the GCF number.
So the greatest common factor 4753,9985 is 1.
Lets's calculate LCM of 887,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 281179
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281179
Therefore, the GCF of Fractions 4753/887,9985/317 is 1/281179
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 887,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,317) x common factors =1 x 1 = 1
LCM(887,317) = ( 887 × 317 ) / 1
LCM(887,317) = 281179 / 1
LCM(887,317) = 281179
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 4753/887, 9985/317?
Answer: GCF of Numerators as per given numbers 4753/887, 9985/317 is
GCF of Numerators i.e. for 4753,9985 is 1
LCM of denominators i.e. for 887,317 is 281179.
Thus, GCF of Fractions is 1/281179.Finally, GCF of Fractions for 4753/887, 9985/317 is 1/281179.