Use our free GCF of Fractions Calculator tool to compute the GCF of 4513/755, 7818/7150 i.e 1/1079650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4513/755, 7818/7150.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4513/755,7818/7150
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 4513/755,7818/7150, numerators are 4513,7818
Denominators are 755,7150
The GCF of 4513,7818 is 1 .
LCM of 755,7150 is 1079650.
The greatest common factor of 4513/755,7818/7150 = [GCF of 4513,7818]/[LCM of 755,7150]= 1/1079650
Therefore, the GCF of 4513/755,7818/7150 is 1/1079650.
To find the highest common factor of 4513,7818, we have to find the factors of both numbers and list the highest common factor.
The factors of 4513 are 1, 4513
The factors of 7818 are 1, 2, 3, 6, 1303, 2606, 3909, 7818
The HCF of 4513,7818 is 1.
Lets's calculate GCF of 4513,7818
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4513
:1,4513
Now, list down the factors of 7818
:1,2,3,6,1303,2606,3909,7818
Greatest Common Factor
We found the factors 4513,7818 . The biggest common factor number is the GCF number.
So the greatest common factor 4513,7818 is 1.
Lets's calculate LCM of 755,7150
5 | 755, 7150 |
151, 1430 |
∴ So the LCM of the given numbers is 5 x 151 x 1430 = 1079650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1079650
Therefore, the GCF of Fractions 4513/755,7818/7150 is 1/1079650
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 755,7150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,7150) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(755,7150) x common factors =5 x 1 = 5
LCM(755,7150) = ( 755 × 7150 ) / 5
LCM(755,7150) = 5398250 / 5
LCM(755,7150) = 1079650
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4513,7818?
The HCF of 4513,7818 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 4513/755, 7818/7150?
Answer: GCF of Numerators as per given numbers 4513/755, 7818/7150 is
GCF of Numerators i.e. for 4513,7818 is 1
LCM of denominators i.e. for 755,7150 is 1079650.
Thus, GCF of Fractions is 1/1079650.Finally, GCF of Fractions for 4513/755, 7818/7150 is 1/1079650.