Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7668/16,3917/802
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 7668,3917
Greatest Common Factor of Numerators i.e. GCF of 7668,3917 is 1 .
LCM of Denominators means LCM of 16,802 as per the given fractions.
LCM of 16,802 is 6416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7668,3917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7668
List of positive integer factors of 7668 that divides 7668 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668
Factors of 3917
List of positive integer factors of 3917 that divides 3917 without a remainder.
1,3917
Greatest Common Factor
We found the factors 7668,3917 . The biggest common factor number is the GCF number.
So the greatest common factor 7668,3917 is 1.
Lets's calculate LCM of 16,802
2 | 16, 802 |
8, 401 |
∴ So the LCM of the given numbers is 2 x 8 x 401 = 6416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6416
Therefore, the GCF of Fractions 7668/16,3917/802 is 1/6416
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 16,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,802) x common factors =2 x 1 = 2
LCM(16,802) = ( 16 × 802 ) / 2
LCM(16,802) = 12832 / 2
LCM(16,802) = 6416
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 7668/16, 3917/802?
Answer: GCF of Numerators as per given numbers 7668/16, 3917/802 is
GCF of Numerators i.e. for 7668,3917 is 1
LCM of denominators i.e. for 16,802 is 6416.
Thus, GCF of Fractions is 1/6416.Finally, GCF of Fractions for 7668/16, 3917/802 is 1/6416.