Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7329/305,9635/920
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 7329,9635
Greatest Common Factor of Numerators i.e. GCF of 7329,9635 is 1 .
LCM of Denominators means LCM of 305,920 as per the given fractions.
LCM of 305,920 is 56120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7329,9635
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7329
List of positive integer factors of 7329 that divides 7329 without a remainder.
1,3,7,21,349,1047,2443,7329
Factors of 9635
List of positive integer factors of 9635 that divides 9635 without a remainder.
1,5,41,47,205,235,1927,9635
Greatest Common Factor
We found the factors 7329,9635 . The biggest common factor number is the GCF number.
So the greatest common factor 7329,9635 is 1.
Lets's calculate LCM of 305,920
5 | 305, 920 |
61, 184 |
∴ So the LCM of the given numbers is 5 x 61 x 184 = 56120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56120
Therefore, the GCF of Fractions 7329/305,9635/920 is 1/56120
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 305,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,920) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,920) x common factors =5 x 1 = 5
LCM(305,920) = ( 305 × 920 ) / 5
LCM(305,920) = 280600 / 5
LCM(305,920) = 56120
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 7329/305, 9635/920?
Answer: GCF of Numerators as per given numbers 7329/305, 9635/920 is
GCF of Numerators i.e. for 7329,9635 is 1
LCM of denominators i.e. for 305,920 is 56120.
Thus, GCF of Fractions is 1/56120.Finally, GCF of Fractions for 7329/305, 9635/920 is 1/56120.