GCF of 6670/305, 9130/163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6670/305, 9130/163 i.e 10/49715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6670/305, 9130/163.
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 6670/305,9130/163?
Given fractions are 6670/305,9130/163
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 6670/305,9130/163, numerators are 6670,9130
Denominators are 305,163
The GCF of 6670,9130 is 10 .
LCM of 305,163 is 49715.
The greatest common factor of 6670/305,9130/163 = [GCF of 6670,9130]/[LCM of 305,163]= 10/49715
Therefore, the GCF of 6670/305,9130/163 is 10/49715.
To find the highest common factor of 6670,9130, we have to find the factors of both numbers and list the highest common factor.
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130
The HCF of 6670,9130 is 10.
Lets's calculate GCF of 6670,9130
| 2 | 6670, 9130 |
| 5 | 3335, 4565 |
| 667, 913 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6670,9130 By Matching Biggest Common Factor Method
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Now, list down the factors of 9130
:1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130
Greatest Common Factor
We found the factors 6670,9130 . The biggest common factor number is the GCF number.
So the greatest common factor 6670,9130 is 10.
Lets's calculate LCM of 305,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 49715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/49715
Therefore, the GCF of Fractions 6670/305,9130/163 is 10/49715
Least Common Multiple of 305,163 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 305,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,163) x common factors =1 x 1 = 1
LCM(305,163) = ( 305 × 163 ) / 1
LCM(305,163) = 49715 / 1
LCM(305,163) = 49715
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6670/305, 9130/163
1. What is the HCF of 6670,9130?
The HCF of 6670,9130 is 10
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 6670/305, 9130/163?
Answer: GCF of Numerators as per given numbers 6670/305, 9130/163 is
GCF of Numerators i.e. for 6670,9130 is 10
LCM of denominators i.e. for 305,163 is 49715.
Thus, GCF of Fractions is 10/49715.Finally, GCF of Fractions for 6670/305, 9130/163 is 10/49715.