Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8343/24,4128/681
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 8343,4128
Greatest Common Factor of Numerators i.e. GCF of 8343,4128 is 3 .
LCM of Denominators means LCM of 24,681 as per the given fractions.
LCM of 24,681 is 5448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8343,4128
3 | 8343, 4128 |
2781, 1376 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8343
List of positive integer factors of 8343 that divides 8343 without a remainder.
1,3,9,27,81,103,309,927,2781,8343
Factors of 4128
List of positive integer factors of 4128 that divides 4128 without a remainder.
1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128
Greatest Common Factor
We found the factors 8343,4128 . The biggest common factor number is the GCF number.
So the greatest common factor 8343,4128 is 3.
Lets's calculate LCM of 24,681
3 | 24, 681 |
8, 227 |
∴ So the LCM of the given numbers is 3 x 8 x 227 = 5448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5448
Therefore, the GCF of Fractions 8343/24,4128/681 is 3/5448
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 24,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,681) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(24,681) x common factors =3 x 1 = 3
LCM(24,681) = ( 24 × 681 ) / 3
LCM(24,681) = 16344 / 3
LCM(24,681) = 5448
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 8343/24, 4128/681?
Answer: GCF of Numerators as per given numbers 8343/24, 4128/681 is
GCF of Numerators i.e. for 8343,4128 is 3
LCM of denominators i.e. for 24,681 is 5448.
Thus, GCF of Fractions is 3/5448.Finally, GCF of Fractions for 8343/24, 4128/681 is 3/5448.