GCF of 6219/261, 6468/4113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6219/261, 6468/4113 i.e 3/119277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6219/261, 6468/4113.
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 6219/261,6468/4113?
Given fractions are 6219/261,6468/4113
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 6219/261,6468/4113, numerators are 6219,6468
Denominators are 261,4113
The GCF of 6219,6468 is 3 .
LCM of 261,4113 is 119277.
The greatest common factor of 6219/261,6468/4113 = [GCF of 6219,6468]/[LCM of 261,4113]= 3/119277
Therefore, the GCF of 6219/261,6468/4113 is 3/119277.
To find the highest common factor of 6219,6468, we have to find the factors of both numbers and list the highest common factor.
The factors of 6219 are 1, 3, 9, 691, 2073, 6219
The factors of 6468 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 132, 147, 154, 196, 231, 294, 308, 462, 539, 588, 924, 1078, 1617, 2156, 3234, 6468
The HCF of 6219,6468 is 3.
Lets's calculate GCF of 6219,6468
| 3 | 6219, 6468 |
| 2073, 2156 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6219,6468 By Matching Biggest Common Factor Method
Now, list down the factors of 6219
:1,3,9,691,2073,6219
Now, list down the factors of 6468
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468
Greatest Common Factor
We found the factors 6219,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 6219,6468 is 3.
Lets's calculate LCM of 261,4113
| 3 | 261, 4113 |
| 3 | 87, 1371 |
| 29, 457 |
∴ So the LCM of the given numbers is 3 x 3 x 29 x 457 = 119277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/119277
Therefore, the GCF of Fractions 6219/261,6468/4113 is 3/119277
Least Common Multiple of 261,4113 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 261,4113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,4113) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(261,4113) x common factors =9 x 1 = 9
LCM(261,4113) = ( 261 × 4113 ) / 9
LCM(261,4113) = 1073493 / 9
LCM(261,4113) = 119277
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FAQs on GCF of Fractions of 6219/261, 6468/4113
1. What is the HCF of 6219,6468?
The HCF of 6219,6468 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 6219/261, 6468/4113?
Answer: GCF of Numerators as per given numbers 6219/261, 6468/4113 is
GCF of Numerators i.e. for 6219,6468 is 3
LCM of denominators i.e. for 261,4113 is 119277.
Thus, GCF of Fractions is 3/119277.Finally, GCF of Fractions for 6219/261, 6468/4113 is 3/119277.