Use our free GCF of Fractions Calculator tool to compute the GCF of 327/751, 456/384 i.e 3/288384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 327/751, 456/384.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 327/751,456/384
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 327/751,456/384, numerators are 327,456
Denominators are 751,384
The GCF of 327,456 is 3 .
LCM of 751,384 is 288384.
The greatest common factor of 327/751,456/384 = [GCF of 327,456]/[LCM of 751,384]= 3/288384
Therefore, the GCF of 327/751,456/384 is 3/288384.
To find the highest common factor of 327,456, we have to find the factors of both numbers and list the highest common factor.
The factors of 327 are 1, 3, 109, 327
The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
The HCF of 327,456 is 3.
Lets's calculate GCF of 327,456
3 | 327, 456 |
109, 152 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 327
:1,3,109,327
Now, list down the factors of 456
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 327,456 . The biggest common factor number is the GCF number.
So the greatest common factor 327,456 is 3.
Lets's calculate LCM of 751,384
Given numbers has no common factors except 1. So, there LCM is their product i.e 288384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/288384
Therefore, the GCF of Fractions 327/751,456/384 is 3/288384
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 751,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,384) x common factors =1 x 1 = 1
LCM(751,384) = ( 751 × 384 ) / 1
LCM(751,384) = 288384 / 1
LCM(751,384) = 288384
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 327,456?
The HCF of 327,456 is 3
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 327/751, 456/384?
Answer: GCF of Numerators as per given numbers 327/751, 456/384 is
GCF of Numerators i.e. for 327,456 is 3
LCM of denominators i.e. for 751,384 is 288384.
Thus, GCF of Fractions is 3/288384.Finally, GCF of Fractions for 327/751, 456/384 is 3/288384.