GCF of 8806/494, 8660/1959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8806/494, 8660/1959 i.e 2/967746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8806/494, 8660/1959.
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 8806/494,8660/1959?
Given fractions are 8806/494,8660/1959
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 8806/494,8660/1959, numerators are 8806,8660
Denominators are 494,1959
The GCF of 8806,8660 is 2 .
LCM of 494,1959 is 967746.
The greatest common factor of 8806/494,8660/1959 = [GCF of 8806,8660]/[LCM of 494,1959]= 2/967746
Therefore, the GCF of 8806/494,8660/1959 is 2/967746.
To find the highest common factor of 8806,8660, we have to find the factors of both numbers and list the highest common factor.
The factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806
The factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660
The HCF of 8806,8660 is 2.
Lets's calculate GCF of 8806,8660
| 2 | 8806, 8660 |
| 4403, 4330 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8806,8660 By Matching Biggest Common Factor Method
Now, list down the factors of 8806
:1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806
Now, list down the factors of 8660
:1,2,4,5,10,20,433,866,1732,2165,4330,8660
Greatest Common Factor
We found the factors 8806,8660 . The biggest common factor number is the GCF number.
So the greatest common factor 8806,8660 is 2.
Lets's calculate LCM of 494,1959
Given numbers has no common factors except 1. So, there LCM is their product i.e 967746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/967746
Therefore, the GCF of Fractions 8806/494,8660/1959 is 2/967746
Least Common Multiple of 494,1959 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 494,1959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,1959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(494,1959) x common factors =1 x 1 = 1
LCM(494,1959) = ( 494 × 1959 ) / 1
LCM(494,1959) = 967746 / 1
LCM(494,1959) = 967746
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FAQs on GCF of Fractions of 8806/494, 8660/1959
1. What is the HCF of 8806,8660?
The HCF of 8806,8660 is 2
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 8806/494, 8660/1959?
Answer: GCF of Numerators as per given numbers 8806/494, 8660/1959 is
GCF of Numerators i.e. for 8806,8660 is 2
LCM of denominators i.e. for 494,1959 is 967746.
Thus, GCF of Fractions is 2/967746.Finally, GCF of Fractions for 8806/494, 8660/1959 is 2/967746.