Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8388/748,5542/560
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 8388,5542
Greatest Common Factor of Numerators i.e. GCF of 8388,5542 is 2 .
LCM of Denominators means LCM of 748,560 as per the given fractions.
LCM of 748,560 is 104720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8388,5542
2 | 8388, 5542 |
4194, 2771 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8388
List of positive integer factors of 8388 that divides 8388 without a remainder.
1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388
Factors of 5542
List of positive integer factors of 5542 that divides 5542 without a remainder.
1,2,17,34,163,326,2771,5542
Greatest Common Factor
We found the factors 8388,5542 . The biggest common factor number is the GCF number.
So the greatest common factor 8388,5542 is 2.
Lets's calculate LCM of 748,560
2 | 748, 560 |
2 | 374, 280 |
187, 140 |
∴ So the LCM of the given numbers is 2 x 2 x 187 x 140 = 104720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104720
Therefore, the GCF of Fractions 8388/748,5542/560 is 2/104720
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 748,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,560) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(748,560) x common factors =4 x 1 = 4
LCM(748,560) = ( 748 × 560 ) / 4
LCM(748,560) = 418880 / 4
LCM(748,560) = 104720
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 8388/748, 5542/560?
Answer: GCF of Numerators as per given numbers 8388/748, 5542/560 is
GCF of Numerators i.e. for 8388,5542 is 2
LCM of denominators i.e. for 748,560 is 104720.
Thus, GCF of Fractions is 2/104720.Finally, GCF of Fractions for 8388/748, 5542/560 is 2/104720.