Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 838/80,108/118
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 838,108
Greatest Common Factor of Numerators i.e. GCF of 838,108 is 2 .
LCM of Denominators means LCM of 80,118 as per the given fractions.
LCM of 80,118 is 4720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 838,108
2 | 838, 108 |
419, 54 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 838,108 . The biggest common factor number is the GCF number.
So the greatest common factor 838,108 is 2.
Lets's calculate LCM of 80,118
2 | 80, 118 |
40, 59 |
∴ So the LCM of the given numbers is 2 x 40 x 59 = 4720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4720
Therefore, the GCF of Fractions 838/80,108/118 is 2/4720
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 80,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(80,118) x common factors =2 x 1 = 2
LCM(80,118) = ( 80 × 118 ) / 2
LCM(80,118) = 9440 / 2
LCM(80,118) = 4720
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 838/80, 108/118?
Answer: GCF of Numerators as per given numbers 838/80, 108/118 is
GCF of Numerators i.e. for 838,108 is 2
LCM of denominators i.e. for 80,118 is 4720.
Thus, GCF of Fractions is 2/4720.Finally, GCF of Fractions for 838/80, 108/118 is 2/4720.