GCF of 6825/260, 3864/3915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6825/260, 3864/3915 i.e 21/203580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6825/260, 3864/3915.
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 6825/260,3864/3915?
Given fractions are 6825/260,3864/3915
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 6825/260,3864/3915, numerators are 6825,3864
Denominators are 260,3915
The GCF of 6825,3864 is 21 .
LCM of 260,3915 is 203580.
The greatest common factor of 6825/260,3864/3915 = [GCF of 6825,3864]/[LCM of 260,3915]= 21/203580
Therefore, the GCF of 6825/260,3864/3915 is 21/203580.
To find the highest common factor of 6825,3864, we have to find the factors of both numbers and list the highest common factor.
The factors of 6825 are 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 175, 195, 273, 325, 455, 525, 975, 1365, 2275, 6825
The factors of 3864 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932, 3864
The HCF of 6825,3864 is 21.
Lets's calculate GCF of 6825,3864
| 3 | 6825, 3864 |
| 7 | 2275, 1288 |
| 325, 184 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 6825,3864 By Matching Biggest Common Factor Method
Now, list down the factors of 6825
:1,3,5,7,13,15,21,25,35,39,65,75,91,105,175,195,273,325,455,525,975,1365,2275,6825
Now, list down the factors of 3864
:1,2,3,4,6,7,8,12,14,21,23,24,28,42,46,56,69,84,92,138,161,168,184,276,322,483,552,644,966,1288,1932,3864
Greatest Common Factor
We found the factors 6825,3864 . The biggest common factor number is the GCF number.
So the greatest common factor 6825,3864 is 21.
Lets's calculate LCM of 260,3915
| 5 | 260, 3915 |
| 52, 783 |
∴ So the LCM of the given numbers is 5 x 52 x 783 = 203580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/203580
Therefore, the GCF of Fractions 6825/260,3864/3915 is 21/203580
Least Common Multiple of 260,3915 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 260,3915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,3915) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(260,3915) x common factors =5 x 1 = 5
LCM(260,3915) = ( 260 × 3915 ) / 5
LCM(260,3915) = 1017900 / 5
LCM(260,3915) = 203580
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FAQs on GCF of Fractions of 6825/260, 3864/3915
1. What is the HCF of 6825,3864?
The HCF of 6825,3864 is 21
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 6825/260, 3864/3915?
Answer: GCF of Numerators as per given numbers 6825/260, 3864/3915 is
GCF of Numerators i.e. for 6825,3864 is 21
LCM of denominators i.e. for 260,3915 is 203580.
Thus, GCF of Fractions is 21/203580.Finally, GCF of Fractions for 6825/260, 3864/3915 is 21/203580.