GCF of 6689/105, 8291/8466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6689/105, 8291/8466 i.e 1/296310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6689/105, 8291/8466.
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 6689/105,8291/8466?
Given fractions are 6689/105,8291/8466
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 6689/105,8291/8466, numerators are 6689,8291
Denominators are 105,8466
The GCF of 6689,8291 is 1 .
LCM of 105,8466 is 296310.
The greatest common factor of 6689/105,8291/8466 = [GCF of 6689,8291]/[LCM of 105,8466]= 1/296310
Therefore, the GCF of 6689/105,8291/8466 is 1/296310.
To find the highest common factor of 6689,8291, we have to find the factors of both numbers and list the highest common factor.
The factors of 6689 are 1, 6689
The factors of 8291 are 1, 8291
The HCF of 6689,8291 is 1.
Lets's calculate GCF of 6689,8291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6689,8291 By Matching Biggest Common Factor Method
Now, list down the factors of 6689
:1,6689
Now, list down the factors of 8291
:1,8291
Greatest Common Factor
We found the factors 6689,8291 . The biggest common factor number is the GCF number.
So the greatest common factor 6689,8291 is 1.
Lets's calculate LCM of 105,8466
| 3 | 105, 8466 |
| 35, 2822 |
∴ So the LCM of the given numbers is 3 x 35 x 2822 = 296310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296310
Therefore, the GCF of Fractions 6689/105,8291/8466 is 1/296310
Least Common Multiple of 105,8466 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 105,8466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,8466) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(105,8466) x common factors =3 x 1 = 3
LCM(105,8466) = ( 105 × 8466 ) / 3
LCM(105,8466) = 888930 / 3
LCM(105,8466) = 296310
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FAQs on GCF of Fractions of 6689/105, 8291/8466
1. What is the HCF of 6689,8291?
The HCF of 6689,8291 is 1
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 6689/105, 8291/8466?
Answer: GCF of Numerators as per given numbers 6689/105, 8291/8466 is
GCF of Numerators i.e. for 6689,8291 is 1
LCM of denominators i.e. for 105,8466 is 296310.
Thus, GCF of Fractions is 1/296310.Finally, GCF of Fractions for 6689/105, 8291/8466 is 1/296310.