Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7708/67,7481/309
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 7708,7481
Greatest Common Factor of Numerators i.e. GCF of 7708,7481 is 1 .
LCM of Denominators means LCM of 67,309 as per the given fractions.
LCM of 67,309 is 20703 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7708,7481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7708
List of positive integer factors of 7708 that divides 7708 without a remainder.
1,2,4,41,47,82,94,164,188,1927,3854,7708
Factors of 7481
List of positive integer factors of 7481 that divides 7481 without a remainder.
1,7481
Greatest Common Factor
We found the factors 7708,7481 . The biggest common factor number is the GCF number.
So the greatest common factor 7708,7481 is 1.
Lets's calculate LCM of 67,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 20703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20703
Therefore, the GCF of Fractions 7708/67,7481/309 is 1/20703
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 67,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,309) x common factors =1 x 1 = 1
LCM(67,309) = ( 67 × 309 ) / 1
LCM(67,309) = 20703 / 1
LCM(67,309) = 20703
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 7708/67, 7481/309?
Answer: GCF of Numerators as per given numbers 7708/67, 7481/309 is
GCF of Numerators i.e. for 7708,7481 is 1
LCM of denominators i.e. for 67,309 is 20703.
Thus, GCF of Fractions is 1/20703.Finally, GCF of Fractions for 7708/67, 7481/309 is 1/20703.