Use our free GCF of Fractions Calculator tool to compute the GCF of 4095/750, 6513/1162 i.e 39/435750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4095/750, 6513/1162.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4095/750,6513/1162
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 4095/750,6513/1162, numerators are 4095,6513
Denominators are 750,1162
The GCF of 4095,6513 is 39 .
LCM of 750,1162 is 435750.
The greatest common factor of 4095/750,6513/1162 = [GCF of 4095,6513]/[LCM of 750,1162]= 39/435750
Therefore, the GCF of 4095/750,6513/1162 is 39/435750.
To find the highest common factor of 4095,6513, we have to find the factors of both numbers and list the highest common factor.
The factors of 4095 are 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095
The factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513
The HCF of 4095,6513 is 39.
Lets's calculate GCF of 4095,6513
3 | 4095, 6513 |
13 | 1365, 2171 |
105, 167 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Now, list down the factors of 4095
:1,3,5,7,9,13,15,21,35,39,45,63,65,91,105,117,195,273,315,455,585,819,1365,4095
Now, list down the factors of 6513
:1,3,13,39,167,501,2171,6513
Greatest Common Factor
We found the factors 4095,6513 . The biggest common factor number is the GCF number.
So the greatest common factor 4095,6513 is 39.
Lets's calculate LCM of 750,1162
2 | 750, 1162 |
375, 581 |
∴ So the LCM of the given numbers is 2 x 375 x 581 = 435750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/435750
Therefore, the GCF of Fractions 4095/750,6513/1162 is 39/435750
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 750,1162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,1162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,1162) x common factors =2 x 1 = 2
LCM(750,1162) = ( 750 × 1162 ) / 2
LCM(750,1162) = 871500 / 2
LCM(750,1162) = 435750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4095,6513?
The HCF of 4095,6513 is 39
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 4095/750, 6513/1162?
Answer: GCF of Numerators as per given numbers 4095/750, 6513/1162 is
GCF of Numerators i.e. for 4095,6513 is 39
LCM of denominators i.e. for 750,1162 is 435750.
Thus, GCF of Fractions is 39/435750.Finally, GCF of Fractions for 4095/750, 6513/1162 is 39/435750.