GCF of 7046/260, 8606/5935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7046/260, 8606/5935 i.e 26/308620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7046/260, 8606/5935.
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 7046/260,8606/5935?
Given fractions are 7046/260,8606/5935
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 7046/260,8606/5935, numerators are 7046,8606
Denominators are 260,5935
The GCF of 7046,8606 is 26 .
LCM of 260,5935 is 308620.
The greatest common factor of 7046/260,8606/5935 = [GCF of 7046,8606]/[LCM of 260,5935]= 26/308620
Therefore, the GCF of 7046/260,8606/5935 is 26/308620.
To find the highest common factor of 7046,8606, we have to find the factors of both numbers and list the highest common factor.
The factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046
The factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606
The HCF of 7046,8606 is 26.
Lets's calculate GCF of 7046,8606
| 2 | 7046, 8606 |
| 13 | 3523, 4303 |
| 271, 331 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 7046,8606 By Matching Biggest Common Factor Method
Now, list down the factors of 7046
:1,2,13,26,271,542,3523,7046
Now, list down the factors of 8606
:1,2,13,26,331,662,4303,8606
Greatest Common Factor
We found the factors 7046,8606 . The biggest common factor number is the GCF number.
So the greatest common factor 7046,8606 is 26.
Lets's calculate LCM of 260,5935
| 5 | 260, 5935 |
| 52, 1187 |
∴ So the LCM of the given numbers is 5 x 52 x 1187 = 308620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/308620
Therefore, the GCF of Fractions 7046/260,8606/5935 is 26/308620
Least Common Multiple of 260,5935 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 260,5935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,5935) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(260,5935) x common factors =5 x 1 = 5
LCM(260,5935) = ( 260 × 5935 ) / 5
LCM(260,5935) = 1543100 / 5
LCM(260,5935) = 308620
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FAQs on GCF of Fractions of 7046/260, 8606/5935
1. What is the HCF of 7046,8606?
The HCF of 7046,8606 is 26
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 7046/260, 8606/5935?
Answer: GCF of Numerators as per given numbers 7046/260, 8606/5935 is
GCF of Numerators i.e. for 7046,8606 is 26
LCM of denominators i.e. for 260,5935 is 308620.
Thus, GCF of Fractions is 26/308620.Finally, GCF of Fractions for 7046/260, 8606/5935 is 26/308620.