Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7694/911,8802/116
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 7694,8802
Greatest Common Factor of Numerators i.e. GCF of 7694,8802 is 2 .
LCM of Denominators means LCM of 911,116 as per the given fractions.
LCM of 911,116 is 105676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7694,8802
2 | 7694, 8802 |
3847, 4401 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7694
List of positive integer factors of 7694 that divides 7694 without a remainder.
1,2,3847,7694
Factors of 8802
List of positive integer factors of 8802 that divides 8802 without a remainder.
1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802
Greatest Common Factor
We found the factors 7694,8802 . The biggest common factor number is the GCF number.
So the greatest common factor 7694,8802 is 2.
Lets's calculate LCM of 911,116
Given numbers has no common factors except 1. So, there LCM is their product i.e 105676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105676
Therefore, the GCF of Fractions 7694/911,8802/116 is 2/105676
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 911,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,116) x common factors =1 x 1 = 1
LCM(911,116) = ( 911 × 116 ) / 1
LCM(911,116) = 105676 / 1
LCM(911,116) = 105676
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 7694/911, 8802/116?
Answer: GCF of Numerators as per given numbers 7694/911, 8802/116 is
GCF of Numerators i.e. for 7694,8802 is 2
LCM of denominators i.e. for 911,116 is 105676.
Thus, GCF of Fractions is 2/105676.Finally, GCF of Fractions for 7694/911, 8802/116 is 2/105676.