GCF of 4612/229, 8966/8511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4612/229, 8966/8511 i.e 2/1949019 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4612/229, 8966/8511.
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 4612/229,8966/8511?
Given fractions are 4612/229,8966/8511
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 4612/229,8966/8511, numerators are 4612,8966
Denominators are 229,8511
The GCF of 4612,8966 is 2 .
LCM of 229,8511 is 1949019.
The greatest common factor of 4612/229,8966/8511 = [GCF of 4612,8966]/[LCM of 229,8511]= 2/1949019
Therefore, the GCF of 4612/229,8966/8511 is 2/1949019.
To find the highest common factor of 4612,8966, we have to find the factors of both numbers and list the highest common factor.
The factors of 4612 are 1, 2, 4, 1153, 2306, 4612
The factors of 8966 are 1, 2, 4483, 8966
The HCF of 4612,8966 is 2.
Lets's calculate GCF of 4612,8966
| 2 | 4612, 8966 |
| 2306, 4483 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4612,8966 By Matching Biggest Common Factor Method
Now, list down the factors of 4612
:1,2,4,1153,2306,4612
Now, list down the factors of 8966
:1,2,4483,8966
Greatest Common Factor
We found the factors 4612,8966 . The biggest common factor number is the GCF number.
So the greatest common factor 4612,8966 is 2.
Lets's calculate LCM of 229,8511
Given numbers has no common factors except 1. So, there LCM is their product i.e 1949019
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1949019
Therefore, the GCF of Fractions 4612/229,8966/8511 is 2/1949019
Least Common Multiple of 229,8511 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 229,8511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,8511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,8511) x common factors =1 x 1 = 1
LCM(229,8511) = ( 229 × 8511 ) / 1
LCM(229,8511) = 1949019 / 1
LCM(229,8511) = 1949019
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FAQs on GCF of Fractions of 4612/229, 8966/8511
1. What is the HCF of 4612,8966?
The HCF of 4612,8966 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 4612/229, 8966/8511?
Answer: GCF of Numerators as per given numbers 4612/229, 8966/8511 is
GCF of Numerators i.e. for 4612,8966 is 2
LCM of denominators i.e. for 229,8511 is 1949019.
Thus, GCF of Fractions is 2/1949019.Finally, GCF of Fractions for 4612/229, 8966/8511 is 2/1949019.