Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9806/931,7191/1035
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 9806,7191
Greatest Common Factor of Numerators i.e. GCF of 9806,7191 is 1 .
LCM of Denominators means LCM of 931,1035 as per the given fractions.
LCM of 931,1035 is 963585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9806,7191
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9806
List of positive integer factors of 9806 that divides 9806 without a remainder.
1,2,4903,9806
Factors of 7191
List of positive integer factors of 7191 that divides 7191 without a remainder.
1,3,9,17,47,51,141,153,423,799,2397,7191
Greatest Common Factor
We found the factors 9806,7191 . The biggest common factor number is the GCF number.
So the greatest common factor 9806,7191 is 1.
Lets's calculate LCM of 931,1035
Given numbers has no common factors except 1. So, there LCM is their product i.e 963585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/963585
Therefore, the GCF of Fractions 9806/931,7191/1035 is 1/963585
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 931,1035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,1035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,1035) x common factors =1 x 1 = 1
LCM(931,1035) = ( 931 × 1035 ) / 1
LCM(931,1035) = 963585 / 1
LCM(931,1035) = 963585
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 9806/931, 7191/1035?
Answer: GCF of Numerators as per given numbers 9806/931, 7191/1035 is
GCF of Numerators i.e. for 9806,7191 is 1
LCM of denominators i.e. for 931,1035 is 963585.
Thus, GCF of Fractions is 1/963585.Finally, GCF of Fractions for 9806/931, 7191/1035 is 1/963585.