GCF of 9266/464, 1116/6981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9266/464, 1116/6981 i.e 2/3239184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9266/464, 1116/6981.
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 9266/464,1116/6981?
Given fractions are 9266/464,1116/6981
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 9266/464,1116/6981, numerators are 9266,1116
Denominators are 464,6981
The GCF of 9266,1116 is 2 .
LCM of 464,6981 is 3239184.
The greatest common factor of 9266/464,1116/6981 = [GCF of 9266,1116]/[LCM of 464,6981]= 2/3239184
Therefore, the GCF of 9266/464,1116/6981 is 2/3239184.
To find the highest common factor of 9266,1116, we have to find the factors of both numbers and list the highest common factor.
The factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116
The HCF of 9266,1116 is 2.
Lets's calculate GCF of 9266,1116
| 2 | 9266, 1116 |
| 4633, 558 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9266,1116 By Matching Biggest Common Factor Method
Now, list down the factors of 9266
:1,2,41,82,113,226,4633,9266
Now, list down the factors of 1116
:1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116
Greatest Common Factor
We found the factors 9266,1116 . The biggest common factor number is the GCF number.
So the greatest common factor 9266,1116 is 2.
Lets's calculate LCM of 464,6981
Given numbers has no common factors except 1. So, there LCM is their product i.e 3239184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3239184
Therefore, the GCF of Fractions 9266/464,1116/6981 is 2/3239184
Least Common Multiple of 464,6981 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 464,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,6981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,6981) x common factors =1 x 1 = 1
LCM(464,6981) = ( 464 × 6981 ) / 1
LCM(464,6981) = 3239184 / 1
LCM(464,6981) = 3239184
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FAQs on GCF of Fractions of 9266/464, 1116/6981
1. What is the HCF of 9266,1116?
The HCF of 9266,1116 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 9266/464, 1116/6981?
Answer: GCF of Numerators as per given numbers 9266/464, 1116/6981 is
GCF of Numerators i.e. for 9266,1116 is 2
LCM of denominators i.e. for 464,6981 is 3239184.
Thus, GCF of Fractions is 2/3239184.Finally, GCF of Fractions for 9266/464, 1116/6981 is 2/3239184.