Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9855/557,4479/965
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 9855,4479
Greatest Common Factor of Numerators i.e. GCF of 9855,4479 is 3 .
LCM of Denominators means LCM of 557,965 as per the given fractions.
LCM of 557,965 is 537505 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9855,4479
3 | 9855, 4479 |
3285, 1493 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9855
List of positive integer factors of 9855 that divides 9855 without a remainder.
1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Factors of 4479
List of positive integer factors of 4479 that divides 4479 without a remainder.
1,3,1493,4479
Greatest Common Factor
We found the factors 9855,4479 . The biggest common factor number is the GCF number.
So the greatest common factor 9855,4479 is 3.
Lets's calculate LCM of 557,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 537505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/537505
Therefore, the GCF of Fractions 9855/557,4479/965 is 3/537505
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 557,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,965) x common factors =1 x 1 = 1
LCM(557,965) = ( 557 × 965 ) / 1
LCM(557,965) = 537505 / 1
LCM(557,965) = 537505
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 9855/557, 4479/965?
Answer: GCF of Numerators as per given numbers 9855/557, 4479/965 is
GCF of Numerators i.e. for 9855,4479 is 3
LCM of denominators i.e. for 557,965 is 537505.
Thus, GCF of Fractions is 3/537505.Finally, GCF of Fractions for 9855/557, 4479/965 is 3/537505.