Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/449,685/365,935/593
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 297,685,935
Greatest Common Factor of Numerators i.e. GCF of 297,685,935 is 1 .
LCM of Denominators means LCM of 449,365,593 as per the given fractions.
LCM of 449,365,593 is 97183805 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 297,685,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 297,685,935 . The biggest common factor number is the GCF number.
So the greatest common factor 297,685,935 is 1.
Lets's calculate LCM of 449,365,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 97183805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97183805
Therefore, the GCF of Fractions 297/449,685/365,935/593 is 1/97183805
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 449,365,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,365,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,365,593) x common factors =1 x 1 = 1
LCM(449,365,593) = ( 449 × 365 × 593 ) / 1
LCM(449,365,593) = 97183805 / 1
LCM(449,365,593) = 97183805
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 297/449, 685/365, 935/593?
Answer: GCF of Numerators as per given numbers 297/449, 685/365, 935/593 is
GCF of Numerators i.e. for 297,685,935 is 1
LCM of denominators i.e. for 449,365,593 is 97183805.
Thus, GCF of Fractions is 1/97183805.Finally, GCF of Fractions for 297/449, 685/365, 935/593 is 1/97183805.