GCF of 6509/360, 8174/904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6509/360, 8174/904 i.e 1/40680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6509/360, 8174/904.
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 6509/360,8174/904?
Given fractions are 6509/360,8174/904
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 6509/360,8174/904, numerators are 6509,8174
Denominators are 360,904
The GCF of 6509,8174 is 1 .
LCM of 360,904 is 40680.
The greatest common factor of 6509/360,8174/904 = [GCF of 6509,8174]/[LCM of 360,904]= 1/40680
Therefore, the GCF of 6509/360,8174/904 is 1/40680.
To find the highest common factor of 6509,8174, we have to find the factors of both numbers and list the highest common factor.
The factors of 6509 are 1, 23, 283, 6509
The factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174
The HCF of 6509,8174 is 1.
Lets's calculate GCF of 6509,8174
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6509,8174 By Matching Biggest Common Factor Method
Now, list down the factors of 6509
:1,23,283,6509
Now, list down the factors of 8174
:1,2,61,67,122,134,4087,8174
Greatest Common Factor
We found the factors 6509,8174 . The biggest common factor number is the GCF number.
So the greatest common factor 6509,8174 is 1.
Lets's calculate LCM of 360,904
| 2 | 360, 904 |
| 2 | 180, 452 |
| 2 | 90, 226 |
| 45, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 45 x 113 = 40680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40680
Therefore, the GCF of Fractions 6509/360,8174/904 is 1/40680
Least Common Multiple of 360,904 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 360,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,904) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(360,904) x common factors =8 x 1 = 8
LCM(360,904) = ( 360 × 904 ) / 8
LCM(360,904) = 325440 / 8
LCM(360,904) = 40680
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FAQs on GCF of Fractions of 6509/360, 8174/904
1. What is the HCF of 6509,8174?
The HCF of 6509,8174 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 6509/360, 8174/904?
Answer: GCF of Numerators as per given numbers 6509/360, 8174/904 is
GCF of Numerators i.e. for 6509,8174 is 1
LCM of denominators i.e. for 360,904 is 40680.
Thus, GCF of Fractions is 1/40680.Finally, GCF of Fractions for 6509/360, 8174/904 is 1/40680.