GCF of 6317/585, 9314/1788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6317/585, 9314/1788 i.e 1/348660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6317/585, 9314/1788.
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 6317/585,9314/1788?
Given fractions are 6317/585,9314/1788
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 6317/585,9314/1788, numerators are 6317,9314
Denominators are 585,1788
The GCF of 6317,9314 is 1 .
LCM of 585,1788 is 348660.
The greatest common factor of 6317/585,9314/1788 = [GCF of 6317,9314]/[LCM of 585,1788]= 1/348660
Therefore, the GCF of 6317/585,9314/1788 is 1/348660.
To find the highest common factor of 6317,9314, we have to find the factors of both numbers and list the highest common factor.
The factors of 6317 are 1, 6317
The factors of 9314 are 1, 2, 4657, 9314
The HCF of 6317,9314 is 1.
Lets's calculate GCF of 6317,9314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6317,9314 By Matching Biggest Common Factor Method
Now, list down the factors of 6317
:1,6317
Now, list down the factors of 9314
:1,2,4657,9314
Greatest Common Factor
We found the factors 6317,9314 . The biggest common factor number is the GCF number.
So the greatest common factor 6317,9314 is 1.
Lets's calculate LCM of 585,1788
| 3 | 585, 1788 |
| 195, 596 |
∴ So the LCM of the given numbers is 3 x 195 x 596 = 348660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348660
Therefore, the GCF of Fractions 6317/585,9314/1788 is 1/348660
Least Common Multiple of 585,1788 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 585,1788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,1788) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(585,1788) x common factors =3 x 1 = 3
LCM(585,1788) = ( 585 × 1788 ) / 3
LCM(585,1788) = 1045980 / 3
LCM(585,1788) = 348660
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FAQs on GCF of Fractions of 6317/585, 9314/1788
1. What is the HCF of 6317,9314?
The HCF of 6317,9314 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 6317/585, 9314/1788?
Answer: GCF of Numerators as per given numbers 6317/585, 9314/1788 is
GCF of Numerators i.e. for 6317,9314 is 1
LCM of denominators i.e. for 585,1788 is 348660.
Thus, GCF of Fractions is 1/348660.Finally, GCF of Fractions for 6317/585, 9314/1788 is 1/348660.