Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/718,8349/3350
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 11,8349
Greatest Common Factor of Numerators i.e. GCF of 11,8349 is 11 .
LCM of Denominators means LCM of 718,3350 as per the given fractions.
LCM of 718,3350 is 1202650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,8349
11 | 11, 8349 |
1, 759 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 8349
List of positive integer factors of 8349 that divides 8349 without a remainder.
1,3,11,23,33,69,121,253,363,759,2783,8349
Greatest Common Factor
We found the factors 11,8349 . The biggest common factor number is the GCF number.
So the greatest common factor 11,8349 is 11.
Lets's calculate LCM of 718,3350
2 | 718, 3350 |
359, 1675 |
∴ So the LCM of the given numbers is 2 x 359 x 1675 = 1202650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1202650
Therefore, the GCF of Fractions 11/718,8349/3350 is 11/1202650
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 718,3350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,3350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,3350) x common factors =2 x 1 = 2
LCM(718,3350) = ( 718 × 3350 ) / 2
LCM(718,3350) = 2405300 / 2
LCM(718,3350) = 1202650
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 11/718, 8349/3350?
Answer: GCF of Numerators as per given numbers 11/718, 8349/3350 is
GCF of Numerators i.e. for 11,8349 is 11
LCM of denominators i.e. for 718,3350 is 1202650.
Thus, GCF of Fractions is 11/1202650.Finally, GCF of Fractions for 11/718, 8349/3350 is 11/1202650.