GCF of 8375/114, 9849/9015
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8375/114, 9849/9015 i.e 67/342570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8375/114, 9849/9015.
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 8375/114,9849/9015?
Given fractions are 8375/114,9849/9015
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 8375/114,9849/9015, numerators are 8375,9849
Denominators are 114,9015
The GCF of 8375,9849 is 67 .
LCM of 114,9015 is 342570.
The greatest common factor of 8375/114,9849/9015 = [GCF of 8375,9849]/[LCM of 114,9015]= 67/342570
Therefore, the GCF of 8375/114,9849/9015 is 67/342570.
To find the highest common factor of 8375,9849, we have to find the factors of both numbers and list the highest common factor.
The factors of 8375 are 1, 5, 25, 67, 125, 335, 1675, 8375
The factors of 9849 are 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849
The HCF of 8375,9849 is 67.
Lets's calculate GCF of 8375,9849
| 67 | 8375, 9849 |
| 125, 147 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 8375,9849 By Matching Biggest Common Factor Method
Now, list down the factors of 8375
:1,5,25,67,125,335,1675,8375
Now, list down the factors of 9849
:1,3,7,21,49,67,147,201,469,1407,3283,9849
Greatest Common Factor
We found the factors 8375,9849 . The biggest common factor number is the GCF number.
So the greatest common factor 8375,9849 is 67.
Lets's calculate LCM of 114,9015
| 3 | 114, 9015 |
| 38, 3005 |
∴ So the LCM of the given numbers is 3 x 38 x 3005 = 342570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/342570
Therefore, the GCF of Fractions 8375/114,9849/9015 is 67/342570
Least Common Multiple of 114,9015 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 114,9015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,9015) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(114,9015) x common factors =3 x 1 = 3
LCM(114,9015) = ( 114 × 9015 ) / 3
LCM(114,9015) = 1027710 / 3
LCM(114,9015) = 342570
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FAQs on GCF of Fractions of 8375/114, 9849/9015
1. What is the HCF of 8375,9849?
The HCF of 8375,9849 is 67
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 8375/114, 9849/9015?
Answer: GCF of Numerators as per given numbers 8375/114, 9849/9015 is
GCF of Numerators i.e. for 8375,9849 is 67
LCM of denominators i.e. for 114,9015 is 342570.
Thus, GCF of Fractions is 67/342570.Finally, GCF of Fractions for 8375/114, 9849/9015 is 67/342570.