Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 864/87,567/7044
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 864,567
Greatest Common Factor of Numerators i.e. GCF of 864,567 is 27 .
LCM of Denominators means LCM of 87,7044 as per the given fractions.
LCM of 87,7044 is 204276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 864,567
3 | 864, 567 |
3 | 288, 189 |
3 | 96, 63 |
32, 21 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Greatest Common Factor
We found the factors 864,567 . The biggest common factor number is the GCF number.
So the greatest common factor 864,567 is 27.
Lets's calculate LCM of 87,7044
3 | 87, 7044 |
29, 2348 |
∴ So the LCM of the given numbers is 3 x 29 x 2348 = 204276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/204276
Therefore, the GCF of Fractions 864/87,567/7044 is 27/204276
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 87,7044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,7044) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,7044) x common factors =3 x 1 = 3
LCM(87,7044) = ( 87 × 7044 ) / 3
LCM(87,7044) = 612828 / 3
LCM(87,7044) = 204276
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 864/87, 567/7044?
Answer: GCF of Numerators as per given numbers 864/87, 567/7044 is
GCF of Numerators i.e. for 864,567 is 27
LCM of denominators i.e. for 87,7044 is 204276.
Thus, GCF of Fractions is 27/204276.Finally, GCF of Fractions for 864/87, 567/7044 is 27/204276.