GCF of 6381/164, 6879/4812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6381/164, 6879/4812 i.e 3/197292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6381/164, 6879/4812.
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 6381/164,6879/4812?
Given fractions are 6381/164,6879/4812
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 6381/164,6879/4812, numerators are 6381,6879
Denominators are 164,4812
The GCF of 6381,6879 is 3 .
LCM of 164,4812 is 197292.
The greatest common factor of 6381/164,6879/4812 = [GCF of 6381,6879]/[LCM of 164,4812]= 3/197292
Therefore, the GCF of 6381/164,6879/4812 is 3/197292.
To find the highest common factor of 6381,6879, we have to find the factors of both numbers and list the highest common factor.
The factors of 6381 are 1, 3, 9, 709, 2127, 6381
The factors of 6879 are 1, 3, 2293, 6879
The HCF of 6381,6879 is 3.
Lets's calculate GCF of 6381,6879
| 3 | 6381, 6879 |
| 2127, 2293 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6381,6879 By Matching Biggest Common Factor Method
Now, list down the factors of 6381
:1,3,9,709,2127,6381
Now, list down the factors of 6879
:1,3,2293,6879
Greatest Common Factor
We found the factors 6381,6879 . The biggest common factor number is the GCF number.
So the greatest common factor 6381,6879 is 3.
Lets's calculate LCM of 164,4812
| 2 | 164, 4812 |
| 2 | 82, 2406 |
| 41, 1203 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 1203 = 197292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/197292
Therefore, the GCF of Fractions 6381/164,6879/4812 is 3/197292
Least Common Multiple of 164,4812 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 164,4812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,4812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,4812) x common factors =4 x 1 = 4
LCM(164,4812) = ( 164 × 4812 ) / 4
LCM(164,4812) = 789168 / 4
LCM(164,4812) = 197292
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FAQs on GCF of Fractions of 6381/164, 6879/4812
1. What is the HCF of 6381,6879?
The HCF of 6381,6879 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 6381/164, 6879/4812?
Answer: GCF of Numerators as per given numbers 6381/164, 6879/4812 is
GCF of Numerators i.e. for 6381,6879 is 3
LCM of denominators i.e. for 164,4812 is 197292.
Thus, GCF of Fractions is 3/197292.Finally, GCF of Fractions for 6381/164, 6879/4812 is 3/197292.