Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3447/108,9857/5699
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 3447,9857
Greatest Common Factor of Numerators i.e. GCF of 3447,9857 is 1 .
LCM of Denominators means LCM of 108,5699 as per the given fractions.
LCM of 108,5699 is 615492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3447,9857
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3447
List of positive integer factors of 3447 that divides 3447 without a remainder.
1,3,9,383,1149,3447
Factors of 9857
List of positive integer factors of 9857 that divides 9857 without a remainder.
1,9857
Greatest Common Factor
We found the factors 3447,9857 . The biggest common factor number is the GCF number.
So the greatest common factor 3447,9857 is 1.
Lets's calculate LCM of 108,5699
Given numbers has no common factors except 1. So, there LCM is their product i.e 615492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/615492
Therefore, the GCF of Fractions 3447/108,9857/5699 is 1/615492
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 108,5699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,5699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,5699) x common factors =1 x 1 = 1
LCM(108,5699) = ( 108 × 5699 ) / 1
LCM(108,5699) = 615492 / 1
LCM(108,5699) = 615492
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 3447/108, 9857/5699?
Answer: GCF of Numerators as per given numbers 3447/108, 9857/5699 is
GCF of Numerators i.e. for 3447,9857 is 1
LCM of denominators i.e. for 108,5699 is 615492.
Thus, GCF of Fractions is 1/615492.Finally, GCF of Fractions for 3447/108, 9857/5699 is 1/615492.