GCF of 8335/549, 3015/5757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8335/549, 3015/5757 i.e 5/1053531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8335/549, 3015/5757.
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 8335/549,3015/5757?
Given fractions are 8335/549,3015/5757
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 8335/549,3015/5757, numerators are 8335,3015
Denominators are 549,5757
The GCF of 8335,3015 is 5 .
LCM of 549,5757 is 1053531.
The greatest common factor of 8335/549,3015/5757 = [GCF of 8335,3015]/[LCM of 549,5757]= 5/1053531
Therefore, the GCF of 8335/549,3015/5757 is 5/1053531.
To find the highest common factor of 8335,3015, we have to find the factors of both numbers and list the highest common factor.
The factors of 8335 are 1, 5, 1667, 8335
The factors of 3015 are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015
The HCF of 8335,3015 is 5.
Lets's calculate GCF of 8335,3015
| 5 | 8335, 3015 |
| 1667, 603 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8335,3015 By Matching Biggest Common Factor Method
Now, list down the factors of 8335
:1,5,1667,8335
Now, list down the factors of 3015
:1,3,5,9,15,45,67,201,335,603,1005,3015
Greatest Common Factor
We found the factors 8335,3015 . The biggest common factor number is the GCF number.
So the greatest common factor 8335,3015 is 5.
Lets's calculate LCM of 549,5757
| 3 | 549, 5757 |
| 183, 1919 |
∴ So the LCM of the given numbers is 3 x 183 x 1919 = 1053531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1053531
Therefore, the GCF of Fractions 8335/549,3015/5757 is 5/1053531
Least Common Multiple of 549,5757 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 549,5757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,5757) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(549,5757) x common factors =3 x 1 = 3
LCM(549,5757) = ( 549 × 5757 ) / 3
LCM(549,5757) = 3160593 / 3
LCM(549,5757) = 1053531
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FAQs on GCF of Fractions of 8335/549, 3015/5757
1. What is the HCF of 8335,3015?
The HCF of 8335,3015 is 5
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 8335/549, 3015/5757?
Answer: GCF of Numerators as per given numbers 8335/549, 3015/5757 is
GCF of Numerators i.e. for 8335,3015 is 5
LCM of denominators i.e. for 549,5757 is 1053531.
Thus, GCF of Fractions is 5/1053531.Finally, GCF of Fractions for 8335/549, 3015/5757 is 5/1053531.