Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2120/239,9648/993
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 2120,9648
Greatest Common Factor of Numerators i.e. GCF of 2120,9648 is 8 .
LCM of Denominators means LCM of 239,993 as per the given fractions.
LCM of 239,993 is 237327 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2120,9648
2 | 2120, 9648 |
2 | 1060, 4824 |
2 | 530, 2412 |
265, 1206 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 2120
List of positive integer factors of 2120 that divides 2120 without a remainder.
1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120
Factors of 9648
List of positive integer factors of 9648 that divides 9648 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Greatest Common Factor
We found the factors 2120,9648 . The biggest common factor number is the GCF number.
So the greatest common factor 2120,9648 is 8.
Lets's calculate LCM of 239,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 237327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/237327
Therefore, the GCF of Fractions 2120/239,9648/993 is 8/237327
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 239,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,993) x common factors =1 x 1 = 1
LCM(239,993) = ( 239 × 993 ) / 1
LCM(239,993) = 237327 / 1
LCM(239,993) = 237327
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 2120/239, 9648/993?
Answer: GCF of Numerators as per given numbers 2120/239, 9648/993 is
GCF of Numerators i.e. for 2120,9648 is 8
LCM of denominators i.e. for 239,993 is 237327.
Thus, GCF of Fractions is 8/237327.Finally, GCF of Fractions for 2120/239, 9648/993 is 8/237327.