Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1330/169,6918/665
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 1330,6918
Greatest Common Factor of Numerators i.e. GCF of 1330,6918 is 2 .
LCM of Denominators means LCM of 169,665 as per the given fractions.
LCM of 169,665 is 112385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1330,6918
2 | 1330, 6918 |
665, 3459 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1330
List of positive integer factors of 1330 that divides 1330 without a remainder.
1,2,5,7,10,14,19,35,38,70,95,133,190,266,665,1330
Factors of 6918
List of positive integer factors of 6918 that divides 6918 without a remainder.
1,2,3,6,1153,2306,3459,6918
Greatest Common Factor
We found the factors 1330,6918 . The biggest common factor number is the GCF number.
So the greatest common factor 1330,6918 is 2.
Lets's calculate LCM of 169,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 112385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112385
Therefore, the GCF of Fractions 1330/169,6918/665 is 2/112385
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 169,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,665) x common factors =1 x 1 = 1
LCM(169,665) = ( 169 × 665 ) / 1
LCM(169,665) = 112385 / 1
LCM(169,665) = 112385
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 1330/169, 6918/665?
Answer: GCF of Numerators as per given numbers 1330/169, 6918/665 is
GCF of Numerators i.e. for 1330,6918 is 2
LCM of denominators i.e. for 169,665 is 112385.
Thus, GCF of Fractions is 2/112385.Finally, GCF of Fractions for 1330/169, 6918/665 is 2/112385.