Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/138,797/278
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 40,797
Greatest Common Factor of Numerators i.e. GCF of 40,797 is 1 .
LCM of Denominators means LCM of 138,278 as per the given fractions.
LCM of 138,278 is 19182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Greatest Common Factor
We found the factors 40,797 . The biggest common factor number is the GCF number.
So the greatest common factor 40,797 is 1.
Lets's calculate LCM of 138,278
2 | 138, 278 |
69, 139 |
∴ So the LCM of the given numbers is 2 x 69 x 139 = 19182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19182
Therefore, the GCF of Fractions 40/138,797/278 is 1/19182
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 138,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,278) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,278) x common factors =2 x 1 = 2
LCM(138,278) = ( 138 × 278 ) / 2
LCM(138,278) = 38364 / 2
LCM(138,278) = 19182
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 40/138, 797/278?
Answer: GCF of Numerators as per given numbers 40/138, 797/278 is
GCF of Numerators i.e. for 40,797 is 1
LCM of denominators i.e. for 138,278 is 19182.
Thus, GCF of Fractions is 1/19182.Finally, GCF of Fractions for 40/138, 797/278 is 1/19182.