GCF of 8585/722, 8348/9306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8585/722, 8348/9306 i.e 1/3359466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8585/722, 8348/9306.
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 8585/722,8348/9306?
Given fractions are 8585/722,8348/9306
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 8585/722,8348/9306, numerators are 8585,8348
Denominators are 722,9306
The GCF of 8585,8348 is 1 .
LCM of 722,9306 is 3359466.
The greatest common factor of 8585/722,8348/9306 = [GCF of 8585,8348]/[LCM of 722,9306]= 1/3359466
Therefore, the GCF of 8585/722,8348/9306 is 1/3359466.
To find the highest common factor of 8585,8348, we have to find the factors of both numbers and list the highest common factor.
The factors of 8585 are 1, 5, 17, 85, 101, 505, 1717, 8585
The factors of 8348 are 1, 2, 4, 2087, 4174, 8348
The HCF of 8585,8348 is 1.
Lets's calculate GCF of 8585,8348
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8585,8348 By Matching Biggest Common Factor Method
Now, list down the factors of 8585
:1,5,17,85,101,505,1717,8585
Now, list down the factors of 8348
:1,2,4,2087,4174,8348
Greatest Common Factor
We found the factors 8585,8348 . The biggest common factor number is the GCF number.
So the greatest common factor 8585,8348 is 1.
Lets's calculate LCM of 722,9306
| 2 | 722, 9306 |
| 361, 4653 |
∴ So the LCM of the given numbers is 2 x 361 x 4653 = 3359466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3359466
Therefore, the GCF of Fractions 8585/722,8348/9306 is 1/3359466
Least Common Multiple of 722,9306 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 722,9306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,9306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,9306) x common factors =2 x 1 = 2
LCM(722,9306) = ( 722 × 9306 ) / 2
LCM(722,9306) = 6718932 / 2
LCM(722,9306) = 3359466
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FAQs on GCF of Fractions of 8585/722, 8348/9306
1. What is the HCF of 8585,8348?
The HCF of 8585,8348 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 8585/722, 8348/9306?
Answer: GCF of Numerators as per given numbers 8585/722, 8348/9306 is
GCF of Numerators i.e. for 8585,8348 is 1
LCM of denominators i.e. for 722,9306 is 3359466.
Thus, GCF of Fractions is 1/3359466.Finally, GCF of Fractions for 8585/722, 8348/9306 is 1/3359466.