GCF of 4539/375, 8715/7750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4539/375, 8715/7750 i.e 3/23250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4539/375, 8715/7750.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4539/375,8715/7750?
Given fractions are 4539/375,8715/7750
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 4539/375,8715/7750, numerators are 4539,8715
Denominators are 375,7750
The GCF of 4539,8715 is 3 .
LCM of 375,7750 is 23250.
The greatest common factor of 4539/375,8715/7750 = [GCF of 4539,8715]/[LCM of 375,7750]= 3/23250
Therefore, the GCF of 4539/375,8715/7750 is 3/23250.
To find the highest common factor of 4539,8715, we have to find the factors of both numbers and list the highest common factor.
The factors of 4539 are 1, 3, 17, 51, 89, 267, 1513, 4539
The factors of 8715 are 1, 3, 5, 7, 15, 21, 35, 83, 105, 249, 415, 581, 1245, 1743, 2905, 8715
The HCF of 4539,8715 is 3.
Lets's calculate GCF of 4539,8715
| 3 | 4539, 8715 |
| 1513, 2905 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4539,8715 By Matching Biggest Common Factor Method
Now, list down the factors of 4539
:1,3,17,51,89,267,1513,4539
Now, list down the factors of 8715
:1,3,5,7,15,21,35,83,105,249,415,581,1245,1743,2905,8715
Greatest Common Factor
We found the factors 4539,8715 . The biggest common factor number is the GCF number.
So the greatest common factor 4539,8715 is 3.
Lets's calculate LCM of 375,7750
| 5 | 375, 7750 |
| 5 | 75, 1550 |
| 5 | 15, 310 |
| 3, 62 |
∴ So the LCM of the given numbers is 5 x 5 x 5 x 3 x 62 = 23250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/23250
Therefore, the GCF of Fractions 4539/375,8715/7750 is 3/23250
Least Common Multiple of 375,7750 with GCF Formula
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 375,7750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,7750) = 125
common factors(in case of two or more numbers have common factors) = 1
GCF(375,7750) x common factors =125 x 1 = 125
LCM(375,7750) = ( 375 × 7750 ) / 125
LCM(375,7750) = 2906250 / 125
LCM(375,7750) = 23250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4539/375, 8715/7750
1. What is the HCF of 4539,8715?
The HCF of 4539,8715 is 3
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 4539/375, 8715/7750?
Answer: GCF of Numerators as per given numbers 4539/375, 8715/7750 is
GCF of Numerators i.e. for 4539,8715 is 3
LCM of denominators i.e. for 375,7750 is 23250.
Thus, GCF of Fractions is 3/23250.Finally, GCF of Fractions for 4539/375, 8715/7750 is 3/23250.