Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4968/615,9295/3138
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 4968,9295
Greatest Common Factor of Numerators i.e. GCF of 4968,9295 is 1 .
LCM of Denominators means LCM of 615,3138 as per the given fractions.
LCM of 615,3138 is 643290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4968,9295
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4968
List of positive integer factors of 4968 that divides 4968 without a remainder.
1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968
Factors of 9295
List of positive integer factors of 9295 that divides 9295 without a remainder.
1,5,11,13,55,65,143,169,715,845,1859,9295
Greatest Common Factor
We found the factors 4968,9295 . The biggest common factor number is the GCF number.
So the greatest common factor 4968,9295 is 1.
Lets's calculate LCM of 615,3138
3 | 615, 3138 |
205, 1046 |
∴ So the LCM of the given numbers is 3 x 205 x 1046 = 643290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/643290
Therefore, the GCF of Fractions 4968/615,9295/3138 is 1/643290
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 615,3138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,3138) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(615,3138) x common factors =3 x 1 = 3
LCM(615,3138) = ( 615 × 3138 ) / 3
LCM(615,3138) = 1929870 / 3
LCM(615,3138) = 643290
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 4968/615, 9295/3138?
Answer: GCF of Numerators as per given numbers 4968/615, 9295/3138 is
GCF of Numerators i.e. for 4968,9295 is 1
LCM of denominators i.e. for 615,3138 is 643290.
Thus, GCF of Fractions is 1/643290.Finally, GCF of Fractions for 4968/615, 9295/3138 is 1/643290.