Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6912/52,1230/800
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 6912,1230
Greatest Common Factor of Numerators i.e. GCF of 6912,1230 is 6 .
LCM of Denominators means LCM of 52,800 as per the given fractions.
LCM of 52,800 is 10400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6912,1230
2 | 6912, 1230 |
3 | 3456, 615 |
1152, 205 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6912
List of positive integer factors of 6912 that divides 6912 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912
Factors of 1230
List of positive integer factors of 1230 that divides 1230 without a remainder.
1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230
Greatest Common Factor
We found the factors 6912,1230 . The biggest common factor number is the GCF number.
So the greatest common factor 6912,1230 is 6.
Lets's calculate LCM of 52,800
2 | 52, 800 |
2 | 26, 400 |
13, 200 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 200 = 10400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10400
Therefore, the GCF of Fractions 6912/52,1230/800 is 6/10400
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 52,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,800) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,800) x common factors =4 x 1 = 4
LCM(52,800) = ( 52 × 800 ) / 4
LCM(52,800) = 41600 / 4
LCM(52,800) = 10400
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 6912/52, 1230/800?
Answer: GCF of Numerators as per given numbers 6912/52, 1230/800 is
GCF of Numerators i.e. for 6912,1230 is 6
LCM of denominators i.e. for 52,800 is 10400.
Thus, GCF of Fractions is 6/10400.Finally, GCF of Fractions for 6912/52, 1230/800 is 6/10400.