Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/788,300/860,908/905
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 848,300,908
Greatest Common Factor of Numerators i.e. GCF of 848,300,908 is 4 .
LCM of Denominators means LCM of 788,860,905 as per the given fractions.
LCM of 788,860,905 is 30665020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 848,300,908
2 | 848, 300, 908 |
2 | 424, 150, 454 |
212, 75, 227 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 848,300,908 . The biggest common factor number is the GCF number.
So the greatest common factor 848,300,908 is 4.
Lets's calculate LCM of 788,860,905
2 | 788, 860, 905 |
2 | 394, 430, 905 |
5 | 197, 215, 905 |
197, 43, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 197 x 43 x 181 = 30665020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/30665020
Therefore, the GCF of Fractions 848/788,300/860,908/905 is 4/30665020
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 788,860,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,860,905) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(788,860,905) x common factors =1 x 20 = 20
LCM(788,860,905) = ( 788 × 860 × 905 ) / 20
LCM(788,860,905) = 613300400 / 20
LCM(788,860,905) = 30665020
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 848/788, 300/860, 908/905?
Answer: GCF of Numerators as per given numbers 848/788, 300/860, 908/905 is
GCF of Numerators i.e. for 848,300,908 is 4
LCM of denominators i.e. for 788,860,905 is 30665020.
Thus, GCF of Fractions is 4/30665020.Finally, GCF of Fractions for 848/788, 300/860, 908/905 is 4/30665020.