Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1232/391,8864/7274
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 1232,8864
Greatest Common Factor of Numerators i.e. GCF of 1232,8864 is 16 .
LCM of Denominators means LCM of 391,7274 as per the given fractions.
LCM of 391,7274 is 2844134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1232,8864
2 | 1232, 8864 |
2 | 616, 4432 |
2 | 308, 2216 |
2 | 154, 1108 |
77, 554 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 1232
List of positive integer factors of 1232 that divides 1232 without a remainder.
1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232
Factors of 8864
List of positive integer factors of 8864 that divides 8864 without a remainder.
1,2,4,8,16,32,277,554,1108,2216,4432,8864
Greatest Common Factor
We found the factors 1232,8864 . The biggest common factor number is the GCF number.
So the greatest common factor 1232,8864 is 16.
Lets's calculate LCM of 391,7274
Given numbers has no common factors except 1. So, there LCM is their product i.e 2844134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2844134
Therefore, the GCF of Fractions 1232/391,8864/7274 is 16/2844134
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 391,7274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,7274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,7274) x common factors =1 x 1 = 1
LCM(391,7274) = ( 391 × 7274 ) / 1
LCM(391,7274) = 2844134 / 1
LCM(391,7274) = 2844134
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 1232/391, 8864/7274?
Answer: GCF of Numerators as per given numbers 1232/391, 8864/7274 is
GCF of Numerators i.e. for 1232,8864 is 16
LCM of denominators i.e. for 391,7274 is 2844134.
Thus, GCF of Fractions is 16/2844134.Finally, GCF of Fractions for 1232/391, 8864/7274 is 16/2844134.