Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/46,56/48,25/344,656/286
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 4,56,25,656
Greatest Common Factor of Numerators i.e. GCF of 4,56,25,656 is 1 .
LCM of Denominators means LCM of 46,48,344,286 as per the given fractions.
LCM of 46,48,344,286 is 6788496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,56,25,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 4,56,25,656 . The biggest common factor number is the GCF number.
So the greatest common factor 4,56,25,656 is 1.
Lets's calculate LCM of 46,48,344,286
2 | 46, 48, 344, 286 |
2 | 23, 24, 172, 143 |
2 | 23, 12, 86, 143 |
23, 6, 43, 143 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 6 x 43 x 143 = 6788496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6788496
Therefore, the GCF of Fractions 4/46,56/48,25/344,656/286 is 1/6788496
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 46,48,344,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,48,344,286) = 2
common factors(in case of two or more numbers have common factors) = 16
GCF(46,48,344,286) x common factors =2 x 16 = 32
LCM(46,48,344,286) = ( 46 × 48 × 344 × 286 ) / 32
LCM(46,48,344,286) = 217231872 / 32
LCM(46,48,344,286) = 6788496
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 4/46, 56/48, 25/344, 656/286?
Answer: GCF of Numerators as per given numbers 4/46, 56/48, 25/344, 656/286 is
GCF of Numerators i.e. for 4,56,25,656 is 1
LCM of denominators i.e. for 46,48,344,286 is 6788496.
Thus, GCF of Fractions is 1/6788496.Finally, GCF of Fractions for 4/46, 56/48, 25/344, 656/286 is 1/6788496.