Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9584/83,8288/236
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 9584,8288
Greatest Common Factor of Numerators i.e. GCF of 9584,8288 is 16 .
LCM of Denominators means LCM of 83,236 as per the given fractions.
LCM of 83,236 is 19588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9584,8288
2 | 9584, 8288 |
2 | 4792, 4144 |
2 | 2396, 2072 |
2 | 1198, 1036 |
599, 518 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 9584
List of positive integer factors of 9584 that divides 9584 without a remainder.
1,2,4,8,16,599,1198,2396,4792,9584
Factors of 8288
List of positive integer factors of 8288 that divides 8288 without a remainder.
1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288
Greatest Common Factor
We found the factors 9584,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 9584,8288 is 16.
Lets's calculate LCM of 83,236
Given numbers has no common factors except 1. So, there LCM is their product i.e 19588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/19588
Therefore, the GCF of Fractions 9584/83,8288/236 is 16/19588
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 83,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,236) x common factors =1 x 1 = 1
LCM(83,236) = ( 83 × 236 ) / 1
LCM(83,236) = 19588 / 1
LCM(83,236) = 19588
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 9584/83, 8288/236?
Answer: GCF of Numerators as per given numbers 9584/83, 8288/236 is
GCF of Numerators i.e. for 9584,8288 is 16
LCM of denominators i.e. for 83,236 is 19588.
Thus, GCF of Fractions is 16/19588.Finally, GCF of Fractions for 9584/83, 8288/236 is 16/19588.