GCF of 7819/346, 6655/4164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7819/346, 6655/4164 i.e 1/720372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7819/346, 6655/4164.
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 7819/346,6655/4164?
Given fractions are 7819/346,6655/4164
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 7819/346,6655/4164, numerators are 7819,6655
Denominators are 346,4164
The GCF of 7819,6655 is 1 .
LCM of 346,4164 is 720372.
The greatest common factor of 7819/346,6655/4164 = [GCF of 7819,6655]/[LCM of 346,4164]= 1/720372
Therefore, the GCF of 7819/346,6655/4164 is 1/720372.
To find the highest common factor of 7819,6655, we have to find the factors of both numbers and list the highest common factor.
The factors of 7819 are 1, 7, 1117, 7819
The factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655
The HCF of 7819,6655 is 1.
Lets's calculate GCF of 7819,6655
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7819,6655 By Matching Biggest Common Factor Method
Now, list down the factors of 7819
:1,7,1117,7819
Now, list down the factors of 6655
:1,5,11,55,121,605,1331,6655
Greatest Common Factor
We found the factors 7819,6655 . The biggest common factor number is the GCF number.
So the greatest common factor 7819,6655 is 1.
Lets's calculate LCM of 346,4164
| 2 | 346, 4164 |
| 173, 2082 |
∴ So the LCM of the given numbers is 2 x 173 x 2082 = 720372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720372
Therefore, the GCF of Fractions 7819/346,6655/4164 is 1/720372
Least Common Multiple of 346,4164 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 346,4164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,4164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,4164) x common factors =2 x 1 = 2
LCM(346,4164) = ( 346 × 4164 ) / 2
LCM(346,4164) = 1440744 / 2
LCM(346,4164) = 720372
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FAQs on GCF of Fractions of 7819/346, 6655/4164
1. What is the HCF of 7819,6655?
The HCF of 7819,6655 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 7819/346, 6655/4164?
Answer: GCF of Numerators as per given numbers 7819/346, 6655/4164 is
GCF of Numerators i.e. for 7819,6655 is 1
LCM of denominators i.e. for 346,4164 is 720372.
Thus, GCF of Fractions is 1/720372.Finally, GCF of Fractions for 7819/346, 6655/4164 is 1/720372.