Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/932,988/987,118/329
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 46,988,118
Greatest Common Factor of Numerators i.e. GCF of 46,988,118 is 2 .
LCM of Denominators means LCM of 932,987,329 as per the given fractions.
LCM of 932,987,329 is 919884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,988,118
2 | 46, 988, 118 |
23, 494, 59 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 46,988,118 . The biggest common factor number is the GCF number.
So the greatest common factor 46,988,118 is 2.
Lets's calculate LCM of 932,987,329
7 | 932, 987, 329 |
47 | 932, 141, 47 |
932, 3, 1 |
∴ So the LCM of the given numbers is 7 x 47 x 932 x 3 x 1 = 919884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/919884
Therefore, the GCF of Fractions 46/932,988/987,118/329 is 2/919884
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 932,987,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,987,329) = 1
common factors(in case of two or more numbers have common factors) = 329
GCF(932,987,329) x common factors =1 x 329 = 329
LCM(932,987,329) = ( 932 × 987 × 329 ) / 329
LCM(932,987,329) = 302641836 / 329
LCM(932,987,329) = 919884
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 46/932, 988/987, 118/329?
Answer: GCF of Numerators as per given numbers 46/932, 988/987, 118/329 is
GCF of Numerators i.e. for 46,988,118 is 2
LCM of denominators i.e. for 932,987,329 is 919884.
Thus, GCF of Fractions is 2/919884.Finally, GCF of Fractions for 46/932, 988/987, 118/329 is 2/919884.