GCF of 391/83, 663/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 391/83, 663/414 i.e 17/34362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/83, 663/414.
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 391/83,663/414?
Given fractions are 391/83,663/414
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 391/83,663/414, numerators are 391,663
Denominators are 83,414
The GCF of 391,663 is 17 .
LCM of 83,414 is 34362.
The greatest common factor of 391/83,663/414 = [GCF of 391,663]/[LCM of 83,414]= 17/34362
Therefore, the GCF of 391/83,663/414 is 17/34362.
To find the highest common factor of 391,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 391 are 1, 17, 23, 391
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 391,663 is 17.
Lets's calculate GCF of 391,663
| 17 | 391, 663 |
| 23, 39 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 391,663 By Matching Biggest Common Factor Method
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 391,663 . The biggest common factor number is the GCF number.
So the greatest common factor 391,663 is 17.
Lets's calculate LCM of 83,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 34362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/34362
Therefore, the GCF of Fractions 391/83,663/414 is 17/34362
Least Common Multiple of 83,414 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 83,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,414) x common factors =1 x 1 = 1
LCM(83,414) = ( 83 × 414 ) / 1
LCM(83,414) = 34362 / 1
LCM(83,414) = 34362
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FAQs on GCF of Fractions of 391/83, 663/414
1. What is the HCF of 391,663?
The HCF of 391,663 is 17
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 391/83, 663/414?
Answer: GCF of Numerators as per given numbers 391/83, 663/414 is
GCF of Numerators i.e. for 391,663 is 17
LCM of denominators i.e. for 83,414 is 34362.
Thus, GCF of Fractions is 17/34362.Finally, GCF of Fractions for 391/83, 663/414 is 17/34362.