GCF of 3546/753, 8349/7242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3546/753, 8349/7242 i.e 3/1817742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3546/753, 8349/7242.
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 3546/753,8349/7242?
Given fractions are 3546/753,8349/7242
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 3546/753,8349/7242, numerators are 3546,8349
Denominators are 753,7242
The GCF of 3546,8349 is 3 .
LCM of 753,7242 is 1817742.
The greatest common factor of 3546/753,8349/7242 = [GCF of 3546,8349]/[LCM of 753,7242]= 3/1817742
Therefore, the GCF of 3546/753,8349/7242 is 3/1817742.
To find the highest common factor of 3546,8349, we have to find the factors of both numbers and list the highest common factor.
The factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546
The factors of 8349 are 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349
The HCF of 3546,8349 is 3.
Lets's calculate GCF of 3546,8349
| 3 | 3546, 8349 |
| 1182, 2783 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3546,8349 By Matching Biggest Common Factor Method
Now, list down the factors of 3546
:1,2,3,6,9,18,197,394,591,1182,1773,3546
Now, list down the factors of 8349
:1,3,11,23,33,69,121,253,363,759,2783,8349
Greatest Common Factor
We found the factors 3546,8349 . The biggest common factor number is the GCF number.
So the greatest common factor 3546,8349 is 3.
Lets's calculate LCM of 753,7242
| 3 | 753, 7242 |
| 251, 2414 |
∴ So the LCM of the given numbers is 3 x 251 x 2414 = 1817742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1817742
Therefore, the GCF of Fractions 3546/753,8349/7242 is 3/1817742
Least Common Multiple of 753,7242 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 753,7242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,7242) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(753,7242) x common factors =3 x 1 = 3
LCM(753,7242) = ( 753 × 7242 ) / 3
LCM(753,7242) = 5453226 / 3
LCM(753,7242) = 1817742
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FAQs on GCF of Fractions of 3546/753, 8349/7242
1. What is the HCF of 3546,8349?
The HCF of 3546,8349 is 3
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 3546/753, 8349/7242?
Answer: GCF of Numerators as per given numbers 3546/753, 8349/7242 is
GCF of Numerators i.e. for 3546,8349 is 3
LCM of denominators i.e. for 753,7242 is 1817742.
Thus, GCF of Fractions is 3/1817742.Finally, GCF of Fractions for 3546/753, 8349/7242 is 3/1817742.