Use our free GCF of Fractions Calculator tool to compute the GCF of 504/448, 786/487 i.e 6/218176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/448, 786/487.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 504/448,786/487
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 504/448,786/487, numerators are 504,786
Denominators are 448,487
The GCF of 504,786 is 6 .
LCM of 448,487 is 218176.
The greatest common factor of 504/448,786/487 = [GCF of 504,786]/[LCM of 448,487]= 6/218176
Therefore, the GCF of 504/448,786/487 is 6/218176.
To find the highest common factor of 504,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 504,786 is 6.
Lets's calculate GCF of 504,786
2 | 504, 786 |
3 | 252, 393 |
84, 131 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 504,786 . The biggest common factor number is the GCF number.
So the greatest common factor 504,786 is 6.
Lets's calculate LCM of 448,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 218176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/218176
Therefore, the GCF of Fractions 504/448,786/487 is 6/218176
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 448,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,487) x common factors =1 x 1 = 1
LCM(448,487) = ( 448 × 487 ) / 1
LCM(448,487) = 218176 / 1
LCM(448,487) = 218176
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 504,786?
The HCF of 504,786 is 6
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 504/448, 786/487?
Answer: GCF of Numerators as per given numbers 504/448, 786/487 is
GCF of Numerators i.e. for 504,786 is 6
LCM of denominators i.e. for 448,487 is 218176.
Thus, GCF of Fractions is 6/218176.Finally, GCF of Fractions for 504/448, 786/487 is 6/218176.