GCF of 6483/532, 1935/8034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6483/532, 1935/8034 i.e 3/2137044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6483/532, 1935/8034.
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 6483/532,1935/8034?
Given fractions are 6483/532,1935/8034
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 6483/532,1935/8034, numerators are 6483,1935
Denominators are 532,8034
The GCF of 6483,1935 is 3 .
LCM of 532,8034 is 2137044.
The greatest common factor of 6483/532,1935/8034 = [GCF of 6483,1935]/[LCM of 532,8034]= 3/2137044
Therefore, the GCF of 6483/532,1935/8034 is 3/2137044.
To find the highest common factor of 6483,1935, we have to find the factors of both numbers and list the highest common factor.
The factors of 6483 are 1, 3, 2161, 6483
The factors of 1935 are 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935
The HCF of 6483,1935 is 3.
Lets's calculate GCF of 6483,1935
| 3 | 6483, 1935 |
| 2161, 645 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6483,1935 By Matching Biggest Common Factor Method
Now, list down the factors of 6483
:1,3,2161,6483
Now, list down the factors of 1935
:1,3,5,9,15,43,45,129,215,387,645,1935
Greatest Common Factor
We found the factors 6483,1935 . The biggest common factor number is the GCF number.
So the greatest common factor 6483,1935 is 3.
Lets's calculate LCM of 532,8034
| 2 | 532, 8034 |
| 266, 4017 |
∴ So the LCM of the given numbers is 2 x 266 x 4017 = 2137044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2137044
Therefore, the GCF of Fractions 6483/532,1935/8034 is 3/2137044
Least Common Multiple of 532,8034 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 532,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,8034) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(532,8034) x common factors =2 x 1 = 2
LCM(532,8034) = ( 532 × 8034 ) / 2
LCM(532,8034) = 4274088 / 2
LCM(532,8034) = 2137044
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FAQs on GCF of Fractions of 6483/532, 1935/8034
1. What is the HCF of 6483,1935?
The HCF of 6483,1935 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 6483/532, 1935/8034?
Answer: GCF of Numerators as per given numbers 6483/532, 1935/8034 is
GCF of Numerators i.e. for 6483,1935 is 3
LCM of denominators i.e. for 532,8034 is 2137044.
Thus, GCF of Fractions is 3/2137044.Finally, GCF of Fractions for 6483/532, 1935/8034 is 3/2137044.