Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8996/99,7207/335
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 8996,7207
Greatest Common Factor of Numerators i.e. GCF of 8996,7207 is 1 .
LCM of Denominators means LCM of 99,335 as per the given fractions.
LCM of 99,335 is 33165 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8996,7207
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8996
List of positive integer factors of 8996 that divides 8996 without a remainder.
1,2,4,13,26,52,173,346,692,2249,4498,8996
Factors of 7207
List of positive integer factors of 7207 that divides 7207 without a remainder.
1,7207
Greatest Common Factor
We found the factors 8996,7207 . The biggest common factor number is the GCF number.
So the greatest common factor 8996,7207 is 1.
Lets's calculate LCM of 99,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 33165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33165
Therefore, the GCF of Fractions 8996/99,7207/335 is 1/33165
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 99,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,335) x common factors =1 x 1 = 1
LCM(99,335) = ( 99 × 335 ) / 1
LCM(99,335) = 33165 / 1
LCM(99,335) = 33165
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 8996/99, 7207/335?
Answer: GCF of Numerators as per given numbers 8996/99, 7207/335 is
GCF of Numerators i.e. for 8996,7207 is 1
LCM of denominators i.e. for 99,335 is 33165.
Thus, GCF of Fractions is 1/33165.Finally, GCF of Fractions for 8996/99, 7207/335 is 1/33165.