Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7336/20,7904/948
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 7336,7904
Greatest Common Factor of Numerators i.e. GCF of 7336,7904 is 8 .
LCM of Denominators means LCM of 20,948 as per the given fractions.
LCM of 20,948 is 4740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7336,7904
2 | 7336, 7904 |
2 | 3668, 3952 |
2 | 1834, 1976 |
917, 988 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 7336
List of positive integer factors of 7336 that divides 7336 without a remainder.
1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336
Factors of 7904
List of positive integer factors of 7904 that divides 7904 without a remainder.
1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904
Greatest Common Factor
We found the factors 7336,7904 . The biggest common factor number is the GCF number.
So the greatest common factor 7336,7904 is 8.
Lets's calculate LCM of 20,948
2 | 20, 948 |
2 | 10, 474 |
5, 237 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 237 = 4740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4740
Therefore, the GCF of Fractions 7336/20,7904/948 is 8/4740
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 20,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,948) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(20,948) x common factors =4 x 1 = 4
LCM(20,948) = ( 20 × 948 ) / 4
LCM(20,948) = 18960 / 4
LCM(20,948) = 4740
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 7336/20, 7904/948?
Answer: GCF of Numerators as per given numbers 7336/20, 7904/948 is
GCF of Numerators i.e. for 7336,7904 is 8
LCM of denominators i.e. for 20,948 is 4740.
Thus, GCF of Fractions is 8/4740.Finally, GCF of Fractions for 7336/20, 7904/948 is 8/4740.