GCF of 7170/586, 4845/8174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7170/586, 4845/8174 i.e 15/2394982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7170/586, 4845/8174.
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 7170/586,4845/8174?
Given fractions are 7170/586,4845/8174
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 7170/586,4845/8174, numerators are 7170,4845
Denominators are 586,8174
The GCF of 7170,4845 is 15 .
LCM of 586,8174 is 2394982.
The greatest common factor of 7170/586,4845/8174 = [GCF of 7170,4845]/[LCM of 586,8174]= 15/2394982
Therefore, the GCF of 7170/586,4845/8174 is 15/2394982.
To find the highest common factor of 7170,4845, we have to find the factors of both numbers and list the highest common factor.
The factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170
The factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845
The HCF of 7170,4845 is 15.
Lets's calculate GCF of 7170,4845
| 3 | 7170, 4845 |
| 5 | 2390, 1615 |
| 478, 323 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7170,4845 By Matching Biggest Common Factor Method
Now, list down the factors of 7170
:1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170
Now, list down the factors of 4845
:1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845
Greatest Common Factor
We found the factors 7170,4845 . The biggest common factor number is the GCF number.
So the greatest common factor 7170,4845 is 15.
Lets's calculate LCM of 586,8174
| 2 | 586, 8174 |
| 293, 4087 |
∴ So the LCM of the given numbers is 2 x 293 x 4087 = 2394982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2394982
Therefore, the GCF of Fractions 7170/586,4845/8174 is 15/2394982
Least Common Multiple of 586,8174 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 586,8174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,8174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,8174) x common factors =2 x 1 = 2
LCM(586,8174) = ( 586 × 8174 ) / 2
LCM(586,8174) = 4789964 / 2
LCM(586,8174) = 2394982
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7170/586, 4845/8174
1. What is the HCF of 7170,4845?
The HCF of 7170,4845 is 15
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 7170/586, 4845/8174?
Answer: GCF of Numerators as per given numbers 7170/586, 4845/8174 is
GCF of Numerators i.e. for 7170,4845 is 15
LCM of denominators i.e. for 586,8174 is 2394982.
Thus, GCF of Fractions is 15/2394982.Finally, GCF of Fractions for 7170/586, 4845/8174 is 15/2394982.