Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/460,4784/1246
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 23,4784
Greatest Common Factor of Numerators i.e. GCF of 23,4784 is 23 .
LCM of Denominators means LCM of 460,1246 as per the given fractions.
LCM of 460,1246 is 286580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,4784
23 | 23, 4784 |
1, 208 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 4784
List of positive integer factors of 4784 that divides 4784 without a remainder.
1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784
Greatest Common Factor
We found the factors 23,4784 . The biggest common factor number is the GCF number.
So the greatest common factor 23,4784 is 23.
Lets's calculate LCM of 460,1246
2 | 460, 1246 |
230, 623 |
∴ So the LCM of the given numbers is 2 x 230 x 623 = 286580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/286580
Therefore, the GCF of Fractions 23/460,4784/1246 is 23/286580
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 460,1246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,1246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(460,1246) x common factors =2 x 1 = 2
LCM(460,1246) = ( 460 × 1246 ) / 2
LCM(460,1246) = 573160 / 2
LCM(460,1246) = 286580
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 23/460, 4784/1246?
Answer: GCF of Numerators as per given numbers 23/460, 4784/1246 is
GCF of Numerators i.e. for 23,4784 is 23
LCM of denominators i.e. for 460,1246 is 286580.
Thus, GCF of Fractions is 23/286580.Finally, GCF of Fractions for 23/460, 4784/1246 is 23/286580.