Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7095/717,8049/8661
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 7095,8049
Greatest Common Factor of Numerators i.e. GCF of 7095,8049 is 3 .
LCM of Denominators means LCM of 717,8661 as per the given fractions.
LCM of 717,8661 is 2069979 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7095,8049
3 | 7095, 8049 |
2365, 2683 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7095
List of positive integer factors of 7095 that divides 7095 without a remainder.
1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095
Factors of 8049
List of positive integer factors of 8049 that divides 8049 without a remainder.
1,3,2683,8049
Greatest Common Factor
We found the factors 7095,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 7095,8049 is 3.
Lets's calculate LCM of 717,8661
3 | 717, 8661 |
239, 2887 |
∴ So the LCM of the given numbers is 3 x 239 x 2887 = 2069979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2069979
Therefore, the GCF of Fractions 7095/717,8049/8661 is 3/2069979
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 717,8661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,8661) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,8661) x common factors =3 x 1 = 3
LCM(717,8661) = ( 717 × 8661 ) / 3
LCM(717,8661) = 6209937 / 3
LCM(717,8661) = 2069979
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 7095/717, 8049/8661?
Answer: GCF of Numerators as per given numbers 7095/717, 8049/8661 is
GCF of Numerators i.e. for 7095,8049 is 3
LCM of denominators i.e. for 717,8661 is 2069979.
Thus, GCF of Fractions is 3/2069979.Finally, GCF of Fractions for 7095/717, 8049/8661 is 3/2069979.