GCF of 6676/382, 9461/9966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6676/382, 9461/9966 i.e 1/1903506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6676/382, 9461/9966.
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 6676/382,9461/9966?
Given fractions are 6676/382,9461/9966
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 6676/382,9461/9966, numerators are 6676,9461
Denominators are 382,9966
The GCF of 6676,9461 is 1 .
LCM of 382,9966 is 1903506.
The greatest common factor of 6676/382,9461/9966 = [GCF of 6676,9461]/[LCM of 382,9966]= 1/1903506
Therefore, the GCF of 6676/382,9461/9966 is 1/1903506.
To find the highest common factor of 6676,9461, we have to find the factors of both numbers and list the highest common factor.
The factors of 6676 are 1, 2, 4, 1669, 3338, 6676
The factors of 9461 are 1, 9461
The HCF of 6676,9461 is 1.
Lets's calculate GCF of 6676,9461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6676,9461 By Matching Biggest Common Factor Method
Now, list down the factors of 6676
:1,2,4,1669,3338,6676
Now, list down the factors of 9461
:1,9461
Greatest Common Factor
We found the factors 6676,9461 . The biggest common factor number is the GCF number.
So the greatest common factor 6676,9461 is 1.
Lets's calculate LCM of 382,9966
| 2 | 382, 9966 |
| 191, 4983 |
∴ So the LCM of the given numbers is 2 x 191 x 4983 = 1903506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1903506
Therefore, the GCF of Fractions 6676/382,9461/9966 is 1/1903506
Least Common Multiple of 382,9966 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 382,9966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,9966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,9966) x common factors =2 x 1 = 2
LCM(382,9966) = ( 382 × 9966 ) / 2
LCM(382,9966) = 3807012 / 2
LCM(382,9966) = 1903506
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FAQs on GCF of Fractions of 6676/382, 9461/9966
1. What is the HCF of 6676,9461?
The HCF of 6676,9461 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 6676/382, 9461/9966?
Answer: GCF of Numerators as per given numbers 6676/382, 9461/9966 is
GCF of Numerators i.e. for 6676,9461 is 1
LCM of denominators i.e. for 382,9966 is 1903506.
Thus, GCF of Fractions is 1/1903506.Finally, GCF of Fractions for 6676/382, 9461/9966 is 1/1903506.