GCF of 6919/311, 4609/7308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6919/311, 4609/7308 i.e 11/2272788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6919/311, 4609/7308.
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 6919/311,4609/7308?
Given fractions are 6919/311,4609/7308
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 6919/311,4609/7308, numerators are 6919,4609
Denominators are 311,7308
The GCF of 6919,4609 is 11 .
LCM of 311,7308 is 2272788.
The greatest common factor of 6919/311,4609/7308 = [GCF of 6919,4609]/[LCM of 311,7308]= 11/2272788
Therefore, the GCF of 6919/311,4609/7308 is 11/2272788.
To find the highest common factor of 6919,4609, we have to find the factors of both numbers and list the highest common factor.
The factors of 6919 are 1, 11, 17, 37, 187, 407, 629, 6919
The factors of 4609 are 1, 11, 419, 4609
The HCF of 6919,4609 is 11.
Lets's calculate GCF of 6919,4609
| 11 | 6919, 4609 |
| 629, 419 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6919,4609 By Matching Biggest Common Factor Method
Now, list down the factors of 6919
:1,11,17,37,187,407,629,6919
Now, list down the factors of 4609
:1,11,419,4609
Greatest Common Factor
We found the factors 6919,4609 . The biggest common factor number is the GCF number.
So the greatest common factor 6919,4609 is 11.
Lets's calculate LCM of 311,7308
Given numbers has no common factors except 1. So, there LCM is their product i.e 2272788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2272788
Therefore, the GCF of Fractions 6919/311,4609/7308 is 11/2272788
Least Common Multiple of 311,7308 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 311,7308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,7308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,7308) x common factors =1 x 1 = 1
LCM(311,7308) = ( 311 × 7308 ) / 1
LCM(311,7308) = 2272788 / 1
LCM(311,7308) = 2272788
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FAQs on GCF of Fractions of 6919/311, 4609/7308
1. What is the HCF of 6919,4609?
The HCF of 6919,4609 is 11
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 6919/311, 4609/7308?
Answer: GCF of Numerators as per given numbers 6919/311, 4609/7308 is
GCF of Numerators i.e. for 6919,4609 is 11
LCM of denominators i.e. for 311,7308 is 2272788.
Thus, GCF of Fractions is 11/2272788.Finally, GCF of Fractions for 6919/311, 4609/7308 is 11/2272788.