Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7427/806,4608/1435
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 7427,4608
Greatest Common Factor of Numerators i.e. GCF of 7427,4608 is 1 .
LCM of Denominators means LCM of 806,1435 as per the given fractions.
LCM of 806,1435 is 1156610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7427,4608
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7427
List of positive integer factors of 7427 that divides 7427 without a remainder.
1,7,1061,7427
Factors of 4608
List of positive integer factors of 4608 that divides 4608 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1152,1536,2304,4608
Greatest Common Factor
We found the factors 7427,4608 . The biggest common factor number is the GCF number.
So the greatest common factor 7427,4608 is 1.
Lets's calculate LCM of 806,1435
Given numbers has no common factors except 1. So, there LCM is their product i.e 1156610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1156610
Therefore, the GCF of Fractions 7427/806,4608/1435 is 1/1156610
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 806,1435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,1435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,1435) x common factors =1 x 1 = 1
LCM(806,1435) = ( 806 × 1435 ) / 1
LCM(806,1435) = 1156610 / 1
LCM(806,1435) = 1156610
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 7427/806, 4608/1435?
Answer: GCF of Numerators as per given numbers 7427/806, 4608/1435 is
GCF of Numerators i.e. for 7427,4608 is 1
LCM of denominators i.e. for 806,1435 is 1156610.
Thus, GCF of Fractions is 1/1156610.Finally, GCF of Fractions for 7427/806, 4608/1435 is 1/1156610.