GCF of 6615/575, 6828/2139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6615/575, 6828/2139 i.e 3/53475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6615/575, 6828/2139.
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 6615/575,6828/2139?
Given fractions are 6615/575,6828/2139
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 6615/575,6828/2139, numerators are 6615,6828
Denominators are 575,2139
The GCF of 6615,6828 is 3 .
LCM of 575,2139 is 53475.
The greatest common factor of 6615/575,6828/2139 = [GCF of 6615,6828]/[LCM of 575,2139]= 3/53475
Therefore, the GCF of 6615/575,6828/2139 is 3/53475.
To find the highest common factor of 6615,6828, we have to find the factors of both numbers and list the highest common factor.
The factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615
The factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828
The HCF of 6615,6828 is 3.
Lets's calculate GCF of 6615,6828
| 3 | 6615, 6828 |
| 2205, 2276 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6615,6828 By Matching Biggest Common Factor Method
Now, list down the factors of 6615
:1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615
Now, list down the factors of 6828
:1,2,3,4,6,12,569,1138,1707,2276,3414,6828
Greatest Common Factor
We found the factors 6615,6828 . The biggest common factor number is the GCF number.
So the greatest common factor 6615,6828 is 3.
Lets's calculate LCM of 575,2139
| 23 | 575, 2139 |
| 25, 93 |
∴ So the LCM of the given numbers is 23 x 25 x 93 = 53475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/53475
Therefore, the GCF of Fractions 6615/575,6828/2139 is 3/53475
Least Common Multiple of 575,2139 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 575,2139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,2139) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(575,2139) x common factors =23 x 1 = 23
LCM(575,2139) = ( 575 × 2139 ) / 23
LCM(575,2139) = 1229925 / 23
LCM(575,2139) = 53475
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FAQs on GCF of Fractions of 6615/575, 6828/2139
1. What is the HCF of 6615,6828?
The HCF of 6615,6828 is 3
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 6615/575, 6828/2139?
Answer: GCF of Numerators as per given numbers 6615/575, 6828/2139 is
GCF of Numerators i.e. for 6615,6828 is 3
LCM of denominators i.e. for 575,2139 is 53475.
Thus, GCF of Fractions is 3/53475.Finally, GCF of Fractions for 6615/575, 6828/2139 is 3/53475.