GCF of 3549/648, 8348/3669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3549/648, 8348/3669 i.e 1/792504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3549/648, 8348/3669.
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 3549/648,8348/3669?
Given fractions are 3549/648,8348/3669
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 3549/648,8348/3669, numerators are 3549,8348
Denominators are 648,3669
The GCF of 3549,8348 is 1 .
LCM of 648,3669 is 792504.
The greatest common factor of 3549/648,8348/3669 = [GCF of 3549,8348]/[LCM of 648,3669]= 1/792504
Therefore, the GCF of 3549/648,8348/3669 is 1/792504.
To find the highest common factor of 3549,8348, we have to find the factors of both numbers and list the highest common factor.
The factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549
The factors of 8348 are 1, 2, 4, 2087, 4174, 8348
The HCF of 3549,8348 is 1.
Lets's calculate GCF of 3549,8348
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3549,8348 By Matching Biggest Common Factor Method
Now, list down the factors of 3549
:1,3,7,13,21,39,91,169,273,507,1183,3549
Now, list down the factors of 8348
:1,2,4,2087,4174,8348
Greatest Common Factor
We found the factors 3549,8348 . The biggest common factor number is the GCF number.
So the greatest common factor 3549,8348 is 1.
Lets's calculate LCM of 648,3669
| 3 | 648, 3669 |
| 216, 1223 |
∴ So the LCM of the given numbers is 3 x 216 x 1223 = 792504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/792504
Therefore, the GCF of Fractions 3549/648,8348/3669 is 1/792504
Least Common Multiple of 648,3669 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 648,3669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,3669) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(648,3669) x common factors =3 x 1 = 3
LCM(648,3669) = ( 648 × 3669 ) / 3
LCM(648,3669) = 2377512 / 3
LCM(648,3669) = 792504
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FAQs on GCF of Fractions of 3549/648, 8348/3669
1. What is the HCF of 3549,8348?
The HCF of 3549,8348 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 3549/648, 8348/3669?
Answer: GCF of Numerators as per given numbers 3549/648, 8348/3669 is
GCF of Numerators i.e. for 3549,8348 is 1
LCM of denominators i.e. for 648,3669 is 792504.
Thus, GCF of Fractions is 1/792504.Finally, GCF of Fractions for 3549/648, 8348/3669 is 1/792504.