Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6943/348,4644/356
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 6943,4644
Greatest Common Factor of Numerators i.e. GCF of 6943,4644 is 1 .
LCM of Denominators means LCM of 348,356 as per the given fractions.
LCM of 348,356 is 30972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6943,4644
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6943
List of positive integer factors of 6943 that divides 6943 without a remainder.
1,53,131,6943
Factors of 4644
List of positive integer factors of 4644 that divides 4644 without a remainder.
1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644
Greatest Common Factor
We found the factors 6943,4644 . The biggest common factor number is the GCF number.
So the greatest common factor 6943,4644 is 1.
Lets's calculate LCM of 348,356
2 | 348, 356 |
2 | 174, 178 |
87, 89 |
∴ So the LCM of the given numbers is 2 x 2 x 87 x 89 = 30972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30972
Therefore, the GCF of Fractions 6943/348,4644/356 is 1/30972
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 348,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,356) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(348,356) x common factors =4 x 1 = 4
LCM(348,356) = ( 348 × 356 ) / 4
LCM(348,356) = 123888 / 4
LCM(348,356) = 30972
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 6943/348, 4644/356?
Answer: GCF of Numerators as per given numbers 6943/348, 4644/356 is
GCF of Numerators i.e. for 6943,4644 is 1
LCM of denominators i.e. for 348,356 is 30972.
Thus, GCF of Fractions is 1/30972.Finally, GCF of Fractions for 6943/348, 4644/356 is 1/30972.