GCF of 6532/309, 6285/1908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6532/309, 6285/1908 i.e 1/196524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6532/309, 6285/1908.
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 6532/309,6285/1908?
Given fractions are 6532/309,6285/1908
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 6532/309,6285/1908, numerators are 6532,6285
Denominators are 309,1908
The GCF of 6532,6285 is 1 .
LCM of 309,1908 is 196524.
The greatest common factor of 6532/309,6285/1908 = [GCF of 6532,6285]/[LCM of 309,1908]= 1/196524
Therefore, the GCF of 6532/309,6285/1908 is 1/196524.
To find the highest common factor of 6532,6285, we have to find the factors of both numbers and list the highest common factor.
The factors of 6532 are 1, 2, 4, 23, 46, 71, 92, 142, 284, 1633, 3266, 6532
The factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285
The HCF of 6532,6285 is 1.
Lets's calculate GCF of 6532,6285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6532,6285 By Matching Biggest Common Factor Method
Now, list down the factors of 6532
:1,2,4,23,46,71,92,142,284,1633,3266,6532
Now, list down the factors of 6285
:1,3,5,15,419,1257,2095,6285
Greatest Common Factor
We found the factors 6532,6285 . The biggest common factor number is the GCF number.
So the greatest common factor 6532,6285 is 1.
Lets's calculate LCM of 309,1908
| 3 | 309, 1908 |
| 103, 636 |
∴ So the LCM of the given numbers is 3 x 103 x 636 = 196524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196524
Therefore, the GCF of Fractions 6532/309,6285/1908 is 1/196524
Least Common Multiple of 309,1908 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 309,1908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,1908) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,1908) x common factors =3 x 1 = 3
LCM(309,1908) = ( 309 × 1908 ) / 3
LCM(309,1908) = 589572 / 3
LCM(309,1908) = 196524
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FAQs on GCF of Fractions of 6532/309, 6285/1908
1. What is the HCF of 6532,6285?
The HCF of 6532,6285 is 1
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 6532/309, 6285/1908?
Answer: GCF of Numerators as per given numbers 6532/309, 6285/1908 is
GCF of Numerators i.e. for 6532,6285 is 1
LCM of denominators i.e. for 309,1908 is 196524.
Thus, GCF of Fractions is 1/196524.Finally, GCF of Fractions for 6532/309, 6285/1908 is 1/196524.