Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3222/68,7776/848
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 3222,7776
Greatest Common Factor of Numerators i.e. GCF of 3222,7776 is 18 .
LCM of Denominators means LCM of 68,848 as per the given fractions.
LCM of 68,848 is 14416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3222,7776
2 | 3222, 7776 |
3 | 1611, 3888 |
3 | 537, 1296 |
179, 432 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 3222
List of positive integer factors of 3222 that divides 3222 without a remainder.
1,2,3,6,9,18,179,358,537,1074,1611,3222
Factors of 7776
List of positive integer factors of 7776 that divides 7776 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,243,288,324,432,486,648,864,972,1296,1944,2592,3888,7776
Greatest Common Factor
We found the factors 3222,7776 . The biggest common factor number is the GCF number.
So the greatest common factor 3222,7776 is 18.
Lets's calculate LCM of 68,848
2 | 68, 848 |
2 | 34, 424 |
17, 212 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 212 = 14416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/14416
Therefore, the GCF of Fractions 3222/68,7776/848 is 18/14416
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 68,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,848) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(68,848) x common factors =4 x 1 = 4
LCM(68,848) = ( 68 × 848 ) / 4
LCM(68,848) = 57664 / 4
LCM(68,848) = 14416
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 3222/68, 7776/848?
Answer: GCF of Numerators as per given numbers 3222/68, 7776/848 is
GCF of Numerators i.e. for 3222,7776 is 18
LCM of denominators i.e. for 68,848 is 14416.
Thus, GCF of Fractions is 18/14416.Finally, GCF of Fractions for 3222/68, 7776/848 is 18/14416.