GCF of 5805/640, 3294/6196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5805/640, 3294/6196 i.e 27/991360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5805/640, 3294/6196.
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 5805/640,3294/6196?
Given fractions are 5805/640,3294/6196
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 5805/640,3294/6196, numerators are 5805,3294
Denominators are 640,6196
The GCF of 5805,3294 is 27 .
LCM of 640,6196 is 991360.
The greatest common factor of 5805/640,3294/6196 = [GCF of 5805,3294]/[LCM of 640,6196]= 27/991360
Therefore, the GCF of 5805/640,3294/6196 is 27/991360.
To find the highest common factor of 5805,3294, we have to find the factors of both numbers and list the highest common factor.
The factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805
The factors of 3294 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294
The HCF of 5805,3294 is 27.
Lets's calculate GCF of 5805,3294
| 3 | 5805, 3294 |
| 3 | 1935, 1098 |
| 3 | 645, 366 |
| 215, 122 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 5805,3294 By Matching Biggest Common Factor Method
Now, list down the factors of 5805
:1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Now, list down the factors of 3294
:1,2,3,6,9,18,27,54,61,122,183,366,549,1098,1647,3294
Greatest Common Factor
We found the factors 5805,3294 . The biggest common factor number is the GCF number.
So the greatest common factor 5805,3294 is 27.
Lets's calculate LCM of 640,6196
| 2 | 640, 6196 |
| 2 | 320, 3098 |
| 160, 1549 |
∴ So the LCM of the given numbers is 2 x 2 x 160 x 1549 = 991360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/991360
Therefore, the GCF of Fractions 5805/640,3294/6196 is 27/991360
Least Common Multiple of 640,6196 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 640,6196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,6196) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(640,6196) x common factors =4 x 1 = 4
LCM(640,6196) = ( 640 × 6196 ) / 4
LCM(640,6196) = 3965440 / 4
LCM(640,6196) = 991360
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FAQs on GCF of Fractions of 5805/640, 3294/6196
1. What is the HCF of 5805,3294?
The HCF of 5805,3294 is 27
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 5805/640, 3294/6196?
Answer: GCF of Numerators as per given numbers 5805/640, 3294/6196 is
GCF of Numerators i.e. for 5805,3294 is 27
LCM of denominators i.e. for 640,6196 is 991360.
Thus, GCF of Fractions is 27/991360.Finally, GCF of Fractions for 5805/640, 3294/6196 is 27/991360.