Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/31,686/65,458/285
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 39,686,458
Greatest Common Factor of Numerators i.e. GCF of 39,686,458 is 1 .
LCM of Denominators means LCM of 31,65,285 as per the given fractions.
LCM of 31,65,285 is 114855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,686,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Greatest Common Factor
We found the factors 39,686,458 . The biggest common factor number is the GCF number.
So the greatest common factor 39,686,458 is 1.
Lets's calculate LCM of 31,65,285
5 | 31, 65, 285 |
31, 13, 57 |
∴ So the LCM of the given numbers is 5 x 31 x 13 x 57 = 114855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114855
Therefore, the GCF of Fractions 39/31,686/65,458/285 is 1/114855
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 31,65,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,65,285) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(31,65,285) x common factors =1 x 5 = 5
LCM(31,65,285) = ( 31 × 65 × 285 ) / 5
LCM(31,65,285) = 574275 / 5
LCM(31,65,285) = 114855
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 39/31, 686/65, 458/285?
Answer: GCF of Numerators as per given numbers 39/31, 686/65, 458/285 is
GCF of Numerators i.e. for 39,686,458 is 1
LCM of denominators i.e. for 31,65,285 is 114855.
Thus, GCF of Fractions is 1/114855.Finally, GCF of Fractions for 39/31, 686/65, 458/285 is 1/114855.