Use our free GCF of Fractions Calculator tool to compute the GCF of 675/761, 385/427 i.e 5/324947 easily. The following is the detailed procedure to determine the greatest common factor of fractions 675/761, 385/427.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 675/761,385/427
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 675/761,385/427, numerators are 675,385
Denominators are 761,427
The GCF of 675,385 is 5 .
LCM of 761,427 is 324947.
The greatest common factor of 675/761,385/427 = [GCF of 675,385]/[LCM of 761,427]= 5/324947
Therefore, the GCF of 675/761,385/427 is 5/324947.
To find the highest common factor of 675,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 675,385 is 5.
Lets's calculate GCF of 675,385
5 | 675, 385 |
135, 77 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 675,385 . The biggest common factor number is the GCF number.
So the greatest common factor 675,385 is 5.
Lets's calculate LCM of 761,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 324947
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/324947
Therefore, the GCF of Fractions 675/761,385/427 is 5/324947
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 761,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,427) x common factors =1 x 1 = 1
LCM(761,427) = ( 761 × 427 ) / 1
LCM(761,427) = 324947 / 1
LCM(761,427) = 324947
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 675,385?
The HCF of 675,385 is 5
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 675/761, 385/427?
Answer: GCF of Numerators as per given numbers 675/761, 385/427 is
GCF of Numerators i.e. for 675,385 is 5
LCM of denominators i.e. for 761,427 is 324947.
Thus, GCF of Fractions is 5/324947.Finally, GCF of Fractions for 675/761, 385/427 is 5/324947.