Use our free GCF of Fractions Calculator tool to compute the GCF of 727/820, 8078/4158 i.e 1/1704780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/820, 8078/4158.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 727/820,8078/4158
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 727/820,8078/4158, numerators are 727,8078
Denominators are 820,4158
The GCF of 727,8078 is 1 .
LCM of 820,4158 is 1704780.
The greatest common factor of 727/820,8078/4158 = [GCF of 727,8078]/[LCM of 820,4158]= 1/1704780
Therefore, the GCF of 727/820,8078/4158 is 1/1704780.
To find the highest common factor of 727,8078, we have to find the factors of both numbers and list the highest common factor.
The factors of 727 are 1, 727
The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078
The HCF of 727,8078 is 1.
Lets's calculate GCF of 727,8078
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 727
:1,727
Now, list down the factors of 8078
:1,2,7,14,577,1154,4039,8078
Greatest Common Factor
We found the factors 727,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 727,8078 is 1.
Lets's calculate LCM of 820,4158
2 | 820, 4158 |
410, 2079 |
∴ So the LCM of the given numbers is 2 x 410 x 2079 = 1704780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1704780
Therefore, the GCF of Fractions 727/820,8078/4158 is 1/1704780
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 820,4158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,4158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(820,4158) x common factors =2 x 1 = 2
LCM(820,4158) = ( 820 × 4158 ) / 2
LCM(820,4158) = 3409560 / 2
LCM(820,4158) = 1704780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 727,8078?
The HCF of 727,8078 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 727/820, 8078/4158?
Answer: GCF of Numerators as per given numbers 727/820, 8078/4158 is
GCF of Numerators i.e. for 727,8078 is 1
LCM of denominators i.e. for 820,4158 is 1704780.
Thus, GCF of Fractions is 1/1704780.Finally, GCF of Fractions for 727/820, 8078/4158 is 1/1704780.