Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7158/774,8886/694
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 7158,8886
Greatest Common Factor of Numerators i.e. GCF of 7158,8886 is 6 .
LCM of Denominators means LCM of 774,694 as per the given fractions.
LCM of 774,694 is 268578 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7158,8886
2 | 7158, 8886 |
3 | 3579, 4443 |
1193, 1481 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 7158
List of positive integer factors of 7158 that divides 7158 without a remainder.
1,2,3,6,1193,2386,3579,7158
Factors of 8886
List of positive integer factors of 8886 that divides 8886 without a remainder.
1,2,3,6,1481,2962,4443,8886
Greatest Common Factor
We found the factors 7158,8886 . The biggest common factor number is the GCF number.
So the greatest common factor 7158,8886 is 6.
Lets's calculate LCM of 774,694
2 | 774, 694 |
387, 347 |
∴ So the LCM of the given numbers is 2 x 387 x 347 = 268578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/268578
Therefore, the GCF of Fractions 7158/774,8886/694 is 6/268578
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 774,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,694) x common factors =2 x 1 = 2
LCM(774,694) = ( 774 × 694 ) / 2
LCM(774,694) = 537156 / 2
LCM(774,694) = 268578
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 7158/774, 8886/694?
Answer: GCF of Numerators as per given numbers 7158/774, 8886/694 is
GCF of Numerators i.e. for 7158,8886 is 6
LCM of denominators i.e. for 774,694 is 268578.
Thus, GCF of Fractions is 6/268578.Finally, GCF of Fractions for 7158/774, 8886/694 is 6/268578.