Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 130/416,2747/686
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 130,2747
Greatest Common Factor of Numerators i.e. GCF of 130,2747 is 1 .
LCM of Denominators means LCM of 416,686 as per the given fractions.
LCM of 416,686 is 142688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 130,2747
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 2747
List of positive integer factors of 2747 that divides 2747 without a remainder.
1,41,67,2747
Greatest Common Factor
We found the factors 130,2747 . The biggest common factor number is the GCF number.
So the greatest common factor 130,2747 is 1.
Lets's calculate LCM of 416,686
2 | 416, 686 |
208, 343 |
∴ So the LCM of the given numbers is 2 x 208 x 343 = 142688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142688
Therefore, the GCF of Fractions 130/416,2747/686 is 1/142688
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 416,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,686) x common factors =2 x 1 = 2
LCM(416,686) = ( 416 × 686 ) / 2
LCM(416,686) = 285376 / 2
LCM(416,686) = 142688
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 130/416, 2747/686?
Answer: GCF of Numerators as per given numbers 130/416, 2747/686 is
GCF of Numerators i.e. for 130,2747 is 1
LCM of denominators i.e. for 416,686 is 142688.
Thus, GCF of Fractions is 1/142688.Finally, GCF of Fractions for 130/416, 2747/686 is 1/142688.