Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7997/47,3925/283
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 7997,3925
Greatest Common Factor of Numerators i.e. GCF of 7997,3925 is 1 .
LCM of Denominators means LCM of 47,283 as per the given fractions.
LCM of 47,283 is 13301 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7997,3925
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7997
List of positive integer factors of 7997 that divides 7997 without a remainder.
1,11,727,7997
Factors of 3925
List of positive integer factors of 3925 that divides 3925 without a remainder.
1,5,25,157,785,3925
Greatest Common Factor
We found the factors 7997,3925 . The biggest common factor number is the GCF number.
So the greatest common factor 7997,3925 is 1.
Lets's calculate LCM of 47,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 13301
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13301
Therefore, the GCF of Fractions 7997/47,3925/283 is 1/13301
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 47,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,283) x common factors =1 x 1 = 1
LCM(47,283) = ( 47 × 283 ) / 1
LCM(47,283) = 13301 / 1
LCM(47,283) = 13301
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 7997/47, 3925/283?
Answer: GCF of Numerators as per given numbers 7997/47, 3925/283 is
GCF of Numerators i.e. for 7997,3925 is 1
LCM of denominators i.e. for 47,283 is 13301.
Thus, GCF of Fractions is 1/13301.Finally, GCF of Fractions for 7997/47, 3925/283 is 1/13301.