Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/16,364/51,481/310
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 716,364,481
Greatest Common Factor of Numerators i.e. GCF of 716,364,481 is 1 .
LCM of Denominators means LCM of 16,51,310 as per the given fractions.
LCM of 16,51,310 is 126480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 716,364,481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 716,364,481 . The biggest common factor number is the GCF number.
So the greatest common factor 716,364,481 is 1.
Lets's calculate LCM of 16,51,310
2 | 16, 51, 310 |
8, 51, 155 |
∴ So the LCM of the given numbers is 2 x 8 x 51 x 155 = 126480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126480
Therefore, the GCF of Fractions 716/16,364/51,481/310 is 1/126480
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 16,51,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,51,310) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,51,310) x common factors =1 x 2 = 2
LCM(16,51,310) = ( 16 × 51 × 310 ) / 2
LCM(16,51,310) = 252960 / 2
LCM(16,51,310) = 126480
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 716/16, 364/51, 481/310?
Answer: GCF of Numerators as per given numbers 716/16, 364/51, 481/310 is
GCF of Numerators i.e. for 716,364,481 is 1
LCM of denominators i.e. for 16,51,310 is 126480.
Thus, GCF of Fractions is 1/126480.Finally, GCF of Fractions for 716/16, 364/51, 481/310 is 1/126480.