GCF of 6097/809, 9548/5766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6097/809, 9548/5766 i.e 7/4664694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6097/809, 9548/5766.
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 6097/809,9548/5766?
Given fractions are 6097/809,9548/5766
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 6097/809,9548/5766, numerators are 6097,9548
Denominators are 809,5766
The GCF of 6097,9548 is 7 .
LCM of 809,5766 is 4664694.
The greatest common factor of 6097/809,9548/5766 = [GCF of 6097,9548]/[LCM of 809,5766]= 7/4664694
Therefore, the GCF of 6097/809,9548/5766 is 7/4664694.
To find the highest common factor of 6097,9548, we have to find the factors of both numbers and list the highest common factor.
The factors of 6097 are 1, 7, 13, 67, 91, 469, 871, 6097
The factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548
The HCF of 6097,9548 is 7.
Lets's calculate GCF of 6097,9548
| 7 | 6097, 9548 |
| 871, 1364 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6097,9548 By Matching Biggest Common Factor Method
Now, list down the factors of 6097
:1,7,13,67,91,469,871,6097
Now, list down the factors of 9548
:1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548
Greatest Common Factor
We found the factors 6097,9548 . The biggest common factor number is the GCF number.
So the greatest common factor 6097,9548 is 7.
Lets's calculate LCM of 809,5766
Given numbers has no common factors except 1. So, there LCM is their product i.e 4664694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4664694
Therefore, the GCF of Fractions 6097/809,9548/5766 is 7/4664694
Least Common Multiple of 809,5766 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 809,5766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,5766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,5766) x common factors =1 x 1 = 1
LCM(809,5766) = ( 809 × 5766 ) / 1
LCM(809,5766) = 4664694 / 1
LCM(809,5766) = 4664694
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FAQs on GCF of Fractions of 6097/809, 9548/5766
1. What is the HCF of 6097,9548?
The HCF of 6097,9548 is 7
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 6097/809, 9548/5766?
Answer: GCF of Numerators as per given numbers 6097/809, 9548/5766 is
GCF of Numerators i.e. for 6097,9548 is 7
LCM of denominators i.e. for 809,5766 is 4664694.
Thus, GCF of Fractions is 7/4664694.Finally, GCF of Fractions for 6097/809, 9548/5766 is 7/4664694.