GCF of 4638/279, 6810/5815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4638/279, 6810/5815 i.e 6/1622385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4638/279, 6810/5815.
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 4638/279,6810/5815?
Given fractions are 4638/279,6810/5815
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 4638/279,6810/5815, numerators are 4638,6810
Denominators are 279,5815
The GCF of 4638,6810 is 6 .
LCM of 279,5815 is 1622385.
The greatest common factor of 4638/279,6810/5815 = [GCF of 4638,6810]/[LCM of 279,5815]= 6/1622385
Therefore, the GCF of 4638/279,6810/5815 is 6/1622385.
To find the highest common factor of 4638,6810, we have to find the factors of both numbers and list the highest common factor.
The factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638
The factors of 6810 are 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810
The HCF of 4638,6810 is 6.
Lets's calculate GCF of 4638,6810
| 2 | 4638, 6810 |
| 3 | 2319, 3405 |
| 773, 1135 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4638,6810 By Matching Biggest Common Factor Method
Now, list down the factors of 4638
:1,2,3,6,773,1546,2319,4638
Now, list down the factors of 6810
:1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810
Greatest Common Factor
We found the factors 4638,6810 . The biggest common factor number is the GCF number.
So the greatest common factor 4638,6810 is 6.
Lets's calculate LCM of 279,5815
Given numbers has no common factors except 1. So, there LCM is their product i.e 1622385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1622385
Therefore, the GCF of Fractions 4638/279,6810/5815 is 6/1622385
Least Common Multiple of 279,5815 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 279,5815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,5815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,5815) x common factors =1 x 1 = 1
LCM(279,5815) = ( 279 × 5815 ) / 1
LCM(279,5815) = 1622385 / 1
LCM(279,5815) = 1622385
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FAQs on GCF of Fractions of 4638/279, 6810/5815
1. What is the HCF of 4638,6810?
The HCF of 4638,6810 is 6
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 4638/279, 6810/5815?
Answer: GCF of Numerators as per given numbers 4638/279, 6810/5815 is
GCF of Numerators i.e. for 4638,6810 is 6
LCM of denominators i.e. for 279,5815 is 1622385.
Thus, GCF of Fractions is 6/1622385.Finally, GCF of Fractions for 4638/279, 6810/5815 is 6/1622385.