GCF of 647/18, 663/519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 647/18, 663/519 i.e 1/3114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/18, 663/519.
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 647/18,663/519?
Given fractions are 647/18,663/519
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 647/18,663/519, numerators are 647,663
Denominators are 18,519
The GCF of 647,663 is 1 .
LCM of 18,519 is 3114.
The greatest common factor of 647/18,663/519 = [GCF of 647,663]/[LCM of 18,519]= 1/3114
Therefore, the GCF of 647/18,663/519 is 1/3114.
To find the highest common factor of 647,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 647 are 1, 647
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 647,663 is 1.
Lets's calculate GCF of 647,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 647,663 By Matching Biggest Common Factor Method
Now, list down the factors of 647
:1,647
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 647,663 . The biggest common factor number is the GCF number.
So the greatest common factor 647,663 is 1.
Lets's calculate LCM of 18,519
| 3 | 18, 519 |
| 6, 173 |
∴ So the LCM of the given numbers is 3 x 6 x 173 = 3114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3114
Therefore, the GCF of Fractions 647/18,663/519 is 1/3114
Least Common Multiple of 18,519 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 18,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(18,519) x common factors =3 x 1 = 3
LCM(18,519) = ( 18 × 519 ) / 3
LCM(18,519) = 9342 / 3
LCM(18,519) = 3114
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FAQs on GCF of Fractions of 647/18, 663/519
1. What is the HCF of 647,663?
The HCF of 647,663 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 647/18, 663/519?
Answer: GCF of Numerators as per given numbers 647/18, 663/519 is
GCF of Numerators i.e. for 647,663 is 1
LCM of denominators i.e. for 18,519 is 3114.
Thus, GCF of Fractions is 1/3114.Finally, GCF of Fractions for 647/18, 663/519 is 1/3114.