GCF of 1629/486, 6721/5793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1629/486, 6721/5793 i.e 1/938466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1629/486, 6721/5793.
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 1629/486,6721/5793?
Given fractions are 1629/486,6721/5793
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 1629/486,6721/5793, numerators are 1629,6721
Denominators are 486,5793
The GCF of 1629,6721 is 1 .
LCM of 486,5793 is 938466.
The greatest common factor of 1629/486,6721/5793 = [GCF of 1629,6721]/[LCM of 486,5793]= 1/938466
Therefore, the GCF of 1629/486,6721/5793 is 1/938466.
To find the highest common factor of 1629,6721, we have to find the factors of both numbers and list the highest common factor.
The factors of 1629 are 1, 3, 9, 181, 543, 1629
The factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721
The HCF of 1629,6721 is 1.
Lets's calculate GCF of 1629,6721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1629,6721 By Matching Biggest Common Factor Method
Now, list down the factors of 1629
:1,3,9,181,543,1629
Now, list down the factors of 6721
:1,11,13,47,143,517,611,6721
Greatest Common Factor
We found the factors 1629,6721 . The biggest common factor number is the GCF number.
So the greatest common factor 1629,6721 is 1.
Lets's calculate LCM of 486,5793
| 3 | 486, 5793 |
| 162, 1931 |
∴ So the LCM of the given numbers is 3 x 162 x 1931 = 938466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/938466
Therefore, the GCF of Fractions 1629/486,6721/5793 is 1/938466
Least Common Multiple of 486,5793 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 486,5793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,5793) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(486,5793) x common factors =3 x 1 = 3
LCM(486,5793) = ( 486 × 5793 ) / 3
LCM(486,5793) = 2815398 / 3
LCM(486,5793) = 938466
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FAQs on GCF of Fractions of 1629/486, 6721/5793
1. What is the HCF of 1629,6721?
The HCF of 1629,6721 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 1629/486, 6721/5793?
Answer: GCF of Numerators as per given numbers 1629/486, 6721/5793 is
GCF of Numerators i.e. for 1629,6721 is 1
LCM of denominators i.e. for 486,5793 is 938466.
Thus, GCF of Fractions is 1/938466.Finally, GCF of Fractions for 1629/486, 6721/5793 is 1/938466.