Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4392/567,6816/301
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 4392,6816
Greatest Common Factor of Numerators i.e. GCF of 4392,6816 is 24 .
LCM of Denominators means LCM of 567,301 as per the given fractions.
LCM of 567,301 is 24381 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4392,6816
2 | 4392, 6816 |
2 | 2196, 3408 |
2 | 1098, 1704 |
3 | 549, 852 |
183, 284 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 4392
List of positive integer factors of 4392 that divides 4392 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392
Factors of 6816
List of positive integer factors of 6816 that divides 6816 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816
Greatest Common Factor
We found the factors 4392,6816 . The biggest common factor number is the GCF number.
So the greatest common factor 4392,6816 is 24.
Lets's calculate LCM of 567,301
7 | 567, 301 |
81, 43 |
∴ So the LCM of the given numbers is 7 x 81 x 43 = 24381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/24381
Therefore, the GCF of Fractions 4392/567,6816/301 is 24/24381
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 567,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,301) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(567,301) x common factors =7 x 1 = 7
LCM(567,301) = ( 567 × 301 ) / 7
LCM(567,301) = 170667 / 7
LCM(567,301) = 24381
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 4392/567, 6816/301?
Answer: GCF of Numerators as per given numbers 4392/567, 6816/301 is
GCF of Numerators i.e. for 4392,6816 is 24
LCM of denominators i.e. for 567,301 is 24381.
Thus, GCF of Fractions is 24/24381.Finally, GCF of Fractions for 4392/567, 6816/301 is 24/24381.