Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5512/16,9763/120
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 5512,9763
Greatest Common Factor of Numerators i.e. GCF of 5512,9763 is 13 .
LCM of Denominators means LCM of 16,120 as per the given fractions.
LCM of 16,120 is 240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5512,9763
13 | 5512, 9763 |
424, 751 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 5512
List of positive integer factors of 5512 that divides 5512 without a remainder.
1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512
Factors of 9763
List of positive integer factors of 9763 that divides 9763 without a remainder.
1,13,751,9763
Greatest Common Factor
We found the factors 5512,9763 . The biggest common factor number is the GCF number.
So the greatest common factor 5512,9763 is 13.
Lets's calculate LCM of 16,120
2 | 16, 120 |
2 | 8, 60 |
2 | 4, 30 |
2, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 15 = 240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/240
Therefore, the GCF of Fractions 5512/16,9763/120 is 13/240
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 16,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,120) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(16,120) x common factors =8 x 1 = 8
LCM(16,120) = ( 16 × 120 ) / 8
LCM(16,120) = 1920 / 8
LCM(16,120) = 240
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 5512/16, 9763/120?
Answer: GCF of Numerators as per given numbers 5512/16, 9763/120 is
GCF of Numerators i.e. for 5512,9763 is 13
LCM of denominators i.e. for 16,120 is 240.
Thus, GCF of Fractions is 13/240.Finally, GCF of Fractions for 5512/16, 9763/120 is 13/240.