GCF of 8617/140, 9266/6826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8617/140, 9266/6826 i.e 1/477820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8617/140, 9266/6826.
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 8617/140,9266/6826?
Given fractions are 8617/140,9266/6826
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 8617/140,9266/6826, numerators are 8617,9266
Denominators are 140,6826
The GCF of 8617,9266 is 1 .
LCM of 140,6826 is 477820.
The greatest common factor of 8617/140,9266/6826 = [GCF of 8617,9266]/[LCM of 140,6826]= 1/477820
Therefore, the GCF of 8617/140,9266/6826 is 1/477820.
To find the highest common factor of 8617,9266, we have to find the factors of both numbers and list the highest common factor.
The factors of 8617 are 1, 7, 1231, 8617
The factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266
The HCF of 8617,9266 is 1.
Lets's calculate GCF of 8617,9266
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8617,9266 By Matching Biggest Common Factor Method
Now, list down the factors of 8617
:1,7,1231,8617
Now, list down the factors of 9266
:1,2,41,82,113,226,4633,9266
Greatest Common Factor
We found the factors 8617,9266 . The biggest common factor number is the GCF number.
So the greatest common factor 8617,9266 is 1.
Lets's calculate LCM of 140,6826
| 2 | 140, 6826 |
| 70, 3413 |
∴ So the LCM of the given numbers is 2 x 70 x 3413 = 477820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477820
Therefore, the GCF of Fractions 8617/140,9266/6826 is 1/477820
Least Common Multiple of 140,6826 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 140,6826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,6826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(140,6826) x common factors =2 x 1 = 2
LCM(140,6826) = ( 140 × 6826 ) / 2
LCM(140,6826) = 955640 / 2
LCM(140,6826) = 477820
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FAQs on GCF of Fractions of 8617/140, 9266/6826
1. What is the HCF of 8617,9266?
The HCF of 8617,9266 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 8617/140, 9266/6826?
Answer: GCF of Numerators as per given numbers 8617/140, 9266/6826 is
GCF of Numerators i.e. for 8617,9266 is 1
LCM of denominators i.e. for 140,6826 is 477820.
Thus, GCF of Fractions is 1/477820.Finally, GCF of Fractions for 8617/140, 9266/6826 is 1/477820.