Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7799/197,7208/339
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 7799,7208
Greatest Common Factor of Numerators i.e. GCF of 7799,7208 is 1 .
LCM of Denominators means LCM of 197,339 as per the given fractions.
LCM of 197,339 is 66783 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7799,7208
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7799
List of positive integer factors of 7799 that divides 7799 without a remainder.
1,11,709,7799
Factors of 7208
List of positive integer factors of 7208 that divides 7208 without a remainder.
1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208
Greatest Common Factor
We found the factors 7799,7208 . The biggest common factor number is the GCF number.
So the greatest common factor 7799,7208 is 1.
Lets's calculate LCM of 197,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 66783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66783
Therefore, the GCF of Fractions 7799/197,7208/339 is 1/66783
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 197,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,339) x common factors =1 x 1 = 1
LCM(197,339) = ( 197 × 339 ) / 1
LCM(197,339) = 66783 / 1
LCM(197,339) = 66783
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 7799/197, 7208/339?
Answer: GCF of Numerators as per given numbers 7799/197, 7208/339 is
GCF of Numerators i.e. for 7799,7208 is 1
LCM of denominators i.e. for 197,339 is 66783.
Thus, GCF of Fractions is 1/66783.Finally, GCF of Fractions for 7799/197, 7208/339 is 1/66783.