GCF of 8803/682, 9209/2360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8803/682, 9209/2360 i.e 1/804760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8803/682, 9209/2360.
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 8803/682,9209/2360?
Given fractions are 8803/682,9209/2360
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 8803/682,9209/2360, numerators are 8803,9209
Denominators are 682,2360
The GCF of 8803,9209 is 1 .
LCM of 682,2360 is 804760.
The greatest common factor of 8803/682,9209/2360 = [GCF of 8803,9209]/[LCM of 682,2360]= 1/804760
Therefore, the GCF of 8803/682,9209/2360 is 1/804760.
To find the highest common factor of 8803,9209, we have to find the factors of both numbers and list the highest common factor.
The factors of 8803 are 1, 8803
The factors of 9209 are 1, 9209
The HCF of 8803,9209 is 1.
Lets's calculate GCF of 8803,9209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8803,9209 By Matching Biggest Common Factor Method
Now, list down the factors of 8803
:1,8803
Now, list down the factors of 9209
:1,9209
Greatest Common Factor
We found the factors 8803,9209 . The biggest common factor number is the GCF number.
So the greatest common factor 8803,9209 is 1.
Lets's calculate LCM of 682,2360
| 2 | 682, 2360 |
| 341, 1180 |
∴ So the LCM of the given numbers is 2 x 341 x 1180 = 804760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804760
Therefore, the GCF of Fractions 8803/682,9209/2360 is 1/804760
Least Common Multiple of 682,2360 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 682,2360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,2360) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,2360) x common factors =2 x 1 = 2
LCM(682,2360) = ( 682 × 2360 ) / 2
LCM(682,2360) = 1609520 / 2
LCM(682,2360) = 804760
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FAQs on GCF of Fractions of 8803/682, 9209/2360
1. What is the HCF of 8803,9209?
The HCF of 8803,9209 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 8803/682, 9209/2360?
Answer: GCF of Numerators as per given numbers 8803/682, 9209/2360 is
GCF of Numerators i.e. for 8803,9209 is 1
LCM of denominators i.e. for 682,2360 is 804760.
Thus, GCF of Fractions is 1/804760.Finally, GCF of Fractions for 8803/682, 9209/2360 is 1/804760.