Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/950,2448/4895
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 68,2448
Greatest Common Factor of Numerators i.e. GCF of 68,2448 is 68 .
LCM of Denominators means LCM of 950,4895 as per the given fractions.
LCM of 950,4895 is 930050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,2448
2 | 68, 2448 |
2 | 34, 1224 |
17 | 17, 612 |
1, 36 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 2448
List of positive integer factors of 2448 that divides 2448 without a remainder.
1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448
Greatest Common Factor
We found the factors 68,2448 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2448 is 68.
Lets's calculate LCM of 950,4895
5 | 950, 4895 |
190, 979 |
∴ So the LCM of the given numbers is 5 x 190 x 979 = 930050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/930050
Therefore, the GCF of Fractions 68/950,2448/4895 is 68/930050
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 950,4895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,4895) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(950,4895) x common factors =5 x 1 = 5
LCM(950,4895) = ( 950 × 4895 ) / 5
LCM(950,4895) = 4650250 / 5
LCM(950,4895) = 930050
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 68/950, 2448/4895?
Answer: GCF of Numerators as per given numbers 68/950, 2448/4895 is
GCF of Numerators i.e. for 68,2448 is 68
LCM of denominators i.e. for 950,4895 is 930050.
Thus, GCF of Fractions is 68/930050.Finally, GCF of Fractions for 68/950, 2448/4895 is 68/930050.