Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 105/87,781/16,464/451
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 105,781,464
Greatest Common Factor of Numerators i.e. GCF of 105,781,464 is 1 .
LCM of Denominators means LCM of 87,16,451 as per the given fractions.
LCM of 87,16,451 is 627792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 105,781,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 105,781,464 . The biggest common factor number is the GCF number.
So the greatest common factor 105,781,464 is 1.
Lets's calculate LCM of 87,16,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 627792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/627792
Therefore, the GCF of Fractions 105/87,781/16,464/451 is 1/627792
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 87,16,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,16,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,16,451) x common factors =1 x 1 = 1
LCM(87,16,451) = ( 87 × 16 × 451 ) / 1
LCM(87,16,451) = 627792 / 1
LCM(87,16,451) = 627792
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 105/87, 781/16, 464/451?
Answer: GCF of Numerators as per given numbers 105/87, 781/16, 464/451 is
GCF of Numerators i.e. for 105,781,464 is 1
LCM of denominators i.e. for 87,16,451 is 627792.
Thus, GCF of Fractions is 1/627792.Finally, GCF of Fractions for 105/87, 781/16, 464/451 is 1/627792.