Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7776/900,8892/4240
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 7776,8892
Greatest Common Factor of Numerators i.e. GCF of 7776,8892 is 36 .
LCM of Denominators means LCM of 900,4240 as per the given fractions.
LCM of 900,4240 is 190800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7776,8892
2 | 7776, 8892 |
2 | 3888, 4446 |
3 | 1944, 2223 |
3 | 648, 741 |
216, 247 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
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
Factors of 8892
List of positive integer factors of 8892 that divides 8892 without a remainder.
1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892
Greatest Common Factor
We found the factors 7776,8892 . The biggest common factor number is the GCF number.
So the greatest common factor 7776,8892 is 36.
Lets's calculate LCM of 900,4240
2 | 900, 4240 |
2 | 450, 2120 |
5 | 225, 1060 |
45, 212 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 45 x 212 = 190800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/190800
Therefore, the GCF of Fractions 7776/900,8892/4240 is 36/190800
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 900,4240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,4240) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(900,4240) x common factors =20 x 1 = 20
LCM(900,4240) = ( 900 × 4240 ) / 20
LCM(900,4240) = 3816000 / 20
LCM(900,4240) = 190800
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 7776/900, 8892/4240?
Answer: GCF of Numerators as per given numbers 7776/900, 8892/4240 is
GCF of Numerators i.e. for 7776,8892 is 36
LCM of denominators i.e. for 900,4240 is 190800.
Thus, GCF of Fractions is 36/190800.Finally, GCF of Fractions for 7776/900, 8892/4240 is 36/190800.