Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 307/89,774/89,337/232
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 307,774,337
Greatest Common Factor of Numerators i.e. GCF of 307,774,337 is 1 .
LCM of Denominators means LCM of 89,89,232 as per the given fractions.
LCM of 89,89,232 is 20648 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 307,774,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 307,774,337 . The biggest common factor number is the GCF number.
So the greatest common factor 307,774,337 is 1.
Lets's calculate LCM of 89,89,232
89 | 89, 89, 232 |
1, 1, 232 |
∴ So the LCM of the given numbers is 89 x 1 x 1 x 232 = 20648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20648
Therefore, the GCF of Fractions 307/89,774/89,337/232 is 1/20648
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 89,89,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,89,232) = 1
common factors(in case of two or more numbers have common factors) = 89
GCF(89,89,232) x common factors =1 x 89 = 89
LCM(89,89,232) = ( 89 × 89 × 232 ) / 89
LCM(89,89,232) = 1837672 / 89
LCM(89,89,232) = 20648
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 307/89, 774/89, 337/232?
Answer: GCF of Numerators as per given numbers 307/89, 774/89, 337/232 is
GCF of Numerators i.e. for 307,774,337 is 1
LCM of denominators i.e. for 89,89,232 is 20648.
Thus, GCF of Fractions is 1/20648.Finally, GCF of Fractions for 307/89, 774/89, 337/232 is 1/20648.