Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/718,3554/306
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 110,3554
Greatest Common Factor of Numerators i.e. GCF of 110,3554 is 2 .
LCM of Denominators means LCM of 718,306 as per the given fractions.
LCM of 718,306 is 109854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,3554
2 | 110, 3554 |
55, 1777 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 3554
List of positive integer factors of 3554 that divides 3554 without a remainder.
1,2,1777,3554
Greatest Common Factor
We found the factors 110,3554 . The biggest common factor number is the GCF number.
So the greatest common factor 110,3554 is 2.
Lets's calculate LCM of 718,306
2 | 718, 306 |
359, 153 |
∴ So the LCM of the given numbers is 2 x 359 x 153 = 109854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109854
Therefore, the GCF of Fractions 110/718,3554/306 is 2/109854
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 718,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,306) x common factors =2 x 1 = 2
LCM(718,306) = ( 718 × 306 ) / 2
LCM(718,306) = 219708 / 2
LCM(718,306) = 109854
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 110/718, 3554/306?
Answer: GCF of Numerators as per given numbers 110/718, 3554/306 is
GCF of Numerators i.e. for 110,3554 is 2
LCM of denominators i.e. for 718,306 is 109854.
Thus, GCF of Fractions is 2/109854.Finally, GCF of Fractions for 110/718, 3554/306 is 2/109854.