GCF of 5309/978, 8295/4341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5309/978, 8295/4341 i.e 1/1415166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5309/978, 8295/4341.
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 5309/978,8295/4341?
Given fractions are 5309/978,8295/4341
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 5309/978,8295/4341, numerators are 5309,8295
Denominators are 978,4341
The GCF of 5309,8295 is 1 .
LCM of 978,4341 is 1415166.
The greatest common factor of 5309/978,8295/4341 = [GCF of 5309,8295]/[LCM of 978,4341]= 1/1415166
Therefore, the GCF of 5309/978,8295/4341 is 1/1415166.
To find the highest common factor of 5309,8295, we have to find the factors of both numbers and list the highest common factor.
The factors of 5309 are 1, 5309
The factors of 8295 are 1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765, 8295
The HCF of 5309,8295 is 1.
Lets's calculate GCF of 5309,8295
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5309,8295 By Matching Biggest Common Factor Method
Now, list down the factors of 5309
:1,5309
Now, list down the factors of 8295
:1,3,5,7,15,21,35,79,105,237,395,553,1185,1659,2765,8295
Greatest Common Factor
We found the factors 5309,8295 . The biggest common factor number is the GCF number.
So the greatest common factor 5309,8295 is 1.
Lets's calculate LCM of 978,4341
| 3 | 978, 4341 |
| 326, 1447 |
∴ So the LCM of the given numbers is 3 x 326 x 1447 = 1415166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1415166
Therefore, the GCF of Fractions 5309/978,8295/4341 is 1/1415166
Least Common Multiple of 978,4341 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 978,4341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,4341) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(978,4341) x common factors =3 x 1 = 3
LCM(978,4341) = ( 978 × 4341 ) / 3
LCM(978,4341) = 4245498 / 3
LCM(978,4341) = 1415166
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FAQs on GCF of Fractions of 5309/978, 8295/4341
1. What is the HCF of 5309,8295?
The HCF of 5309,8295 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 5309/978, 8295/4341?
Answer: GCF of Numerators as per given numbers 5309/978, 8295/4341 is
GCF of Numerators i.e. for 5309,8295 is 1
LCM of denominators i.e. for 978,4341 is 1415166.
Thus, GCF of Fractions is 1/1415166.Finally, GCF of Fractions for 5309/978, 8295/4341 is 1/1415166.