Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9788/188,4144/7290
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 9788,4144
Greatest Common Factor of Numerators i.e. GCF of 9788,4144 is 4 .
LCM of Denominators means LCM of 188,7290 as per the given fractions.
LCM of 188,7290 is 685260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9788,4144
2 | 9788, 4144 |
2 | 4894, 2072 |
2447, 1036 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9788
List of positive integer factors of 9788 that divides 9788 without a remainder.
1,2,4,2447,4894,9788
Factors of 4144
List of positive integer factors of 4144 that divides 4144 without a remainder.
1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144
Greatest Common Factor
We found the factors 9788,4144 . The biggest common factor number is the GCF number.
So the greatest common factor 9788,4144 is 4.
Lets's calculate LCM of 188,7290
2 | 188, 7290 |
94, 3645 |
∴ So the LCM of the given numbers is 2 x 94 x 3645 = 685260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/685260
Therefore, the GCF of Fractions 9788/188,4144/7290 is 4/685260
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 188,7290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,7290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(188,7290) x common factors =2 x 1 = 2
LCM(188,7290) = ( 188 × 7290 ) / 2
LCM(188,7290) = 1370520 / 2
LCM(188,7290) = 685260
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 9788/188, 4144/7290?
Answer: GCF of Numerators as per given numbers 9788/188, 4144/7290 is
GCF of Numerators i.e. for 9788,4144 is 4
LCM of denominators i.e. for 188,7290 is 685260.
Thus, GCF of Fractions is 4/685260.Finally, GCF of Fractions for 9788/188, 4144/7290 is 4/685260.