Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7331/97,8077/205
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 7331,8077
Greatest Common Factor of Numerators i.e. GCF of 7331,8077 is 1 .
LCM of Denominators means LCM of 97,205 as per the given fractions.
LCM of 97,205 is 19885 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7331,8077
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7331
List of positive integer factors of 7331 that divides 7331 without a remainder.
1,7331
Factors of 8077
List of positive integer factors of 8077 that divides 8077 without a remainder.
1,41,197,8077
Greatest Common Factor
We found the factors 7331,8077 . The biggest common factor number is the GCF number.
So the greatest common factor 7331,8077 is 1.
Lets's calculate LCM of 97,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 19885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19885
Therefore, the GCF of Fractions 7331/97,8077/205 is 1/19885
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 97,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,205) x common factors =1 x 1 = 1
LCM(97,205) = ( 97 × 205 ) / 1
LCM(97,205) = 19885 / 1
LCM(97,205) = 19885
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 7331/97, 8077/205?
Answer: GCF of Numerators as per given numbers 7331/97, 8077/205 is
GCF of Numerators i.e. for 7331,8077 is 1
LCM of denominators i.e. for 97,205 is 19885.
Thus, GCF of Fractions is 1/19885.Finally, GCF of Fractions for 7331/97, 8077/205 is 1/19885.