Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 108/10,466/39,705/511
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 108,466,705
Greatest Common Factor of Numerators i.e. GCF of 108,466,705 is 1 .
LCM of Denominators means LCM of 10,39,511 as per the given fractions.
LCM of 10,39,511 is 199290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 108,466,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 108,466,705 . The biggest common factor number is the GCF number.
So the greatest common factor 108,466,705 is 1.
Lets's calculate LCM of 10,39,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 199290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199290
Therefore, the GCF of Fractions 108/10,466/39,705/511 is 1/199290
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 10,39,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,39,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,39,511) x common factors =1 x 1 = 1
LCM(10,39,511) = ( 10 × 39 × 511 ) / 1
LCM(10,39,511) = 199290 / 1
LCM(10,39,511) = 199290
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 108/10, 466/39, 705/511?
Answer: GCF of Numerators as per given numbers 108/10, 466/39, 705/511 is
GCF of Numerators i.e. for 108,466,705 is 1
LCM of denominators i.e. for 10,39,511 is 199290.
Thus, GCF of Fractions is 1/199290.Finally, GCF of Fractions for 108/10, 466/39, 705/511 is 1/199290.