Use our free GCF of Fractions Calculator tool to compute the GCF of 307/419, 332/284 i.e 1/118996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 307/419, 332/284.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 307/419,332/284
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 307/419,332/284, numerators are 307,332
Denominators are 419,284
The GCF of 307,332 is 1 .
LCM of 419,284 is 118996.
The greatest common factor of 307/419,332/284 = [GCF of 307,332]/[LCM of 419,284]= 1/118996
Therefore, the GCF of 307/419,332/284 is 1/118996.
To find the highest common factor of 307,332, we have to find the factors of both numbers and list the highest common factor.
The factors of 307 are 1, 307
The factors of 332 are 1, 2, 4, 83, 166, 332
The HCF of 307,332 is 1.
Lets's calculate GCF of 307,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 307
:1,307
Now, list down the factors of 332
:1,2,4,83,166,332
Greatest Common Factor
We found the factors 307,332 . The biggest common factor number is the GCF number.
So the greatest common factor 307,332 is 1.
Lets's calculate LCM of 419,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 118996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118996
Therefore, the GCF of Fractions 307/419,332/284 is 1/118996
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 419,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,284) x common factors =1 x 1 = 1
LCM(419,284) = ( 419 × 284 ) / 1
LCM(419,284) = 118996 / 1
LCM(419,284) = 118996
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 307,332?
The HCF of 307,332 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 307/419, 332/284?
Answer: GCF of Numerators as per given numbers 307/419, 332/284 is
GCF of Numerators i.e. for 307,332 is 1
LCM of denominators i.e. for 419,284 is 118996.
Thus, GCF of Fractions is 1/118996.Finally, GCF of Fractions for 307/419, 332/284 is 1/118996.