GCF of 9166/297, 6878/5930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9166/297, 6878/5930 i.e 2/1761210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9166/297, 6878/5930.
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 9166/297,6878/5930?
Given fractions are 9166/297,6878/5930
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 9166/297,6878/5930, numerators are 9166,6878
Denominators are 297,5930
The GCF of 9166,6878 is 2 .
LCM of 297,5930 is 1761210.
The greatest common factor of 9166/297,6878/5930 = [GCF of 9166,6878]/[LCM of 297,5930]= 2/1761210
Therefore, the GCF of 9166/297,6878/5930 is 2/1761210.
To find the highest common factor of 9166,6878, we have to find the factors of both numbers and list the highest common factor.
The factors of 9166 are 1, 2, 4583, 9166
The factors of 6878 are 1, 2, 19, 38, 181, 362, 3439, 6878
The HCF of 9166,6878 is 2.
Lets's calculate GCF of 9166,6878
| 2 | 9166, 6878 |
| 4583, 3439 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9166,6878 By Matching Biggest Common Factor Method
Now, list down the factors of 9166
:1,2,4583,9166
Now, list down the factors of 6878
:1,2,19,38,181,362,3439,6878
Greatest Common Factor
We found the factors 9166,6878 . The biggest common factor number is the GCF number.
So the greatest common factor 9166,6878 is 2.
Lets's calculate LCM of 297,5930
Given numbers has no common factors except 1. So, there LCM is their product i.e 1761210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1761210
Therefore, the GCF of Fractions 9166/297,6878/5930 is 2/1761210
Least Common Multiple of 297,5930 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 297,5930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,5930) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(297,5930) x common factors =1 x 1 = 1
LCM(297,5930) = ( 297 × 5930 ) / 1
LCM(297,5930) = 1761210 / 1
LCM(297,5930) = 1761210
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9166/297, 6878/5930
1. What is the HCF of 9166,6878?
The HCF of 9166,6878 is 2
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 9166/297, 6878/5930?
Answer: GCF of Numerators as per given numbers 9166/297, 6878/5930 is
GCF of Numerators i.e. for 9166,6878 is 2
LCM of denominators i.e. for 297,5930 is 1761210.
Thus, GCF of Fractions is 2/1761210.Finally, GCF of Fractions for 9166/297, 6878/5930 is 2/1761210.