GCF of 4666/744, 8030/4014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4666/744, 8030/4014 i.e 2/497736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4666/744, 8030/4014.
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 4666/744,8030/4014?
Given fractions are 4666/744,8030/4014
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 4666/744,8030/4014, numerators are 4666,8030
Denominators are 744,4014
The GCF of 4666,8030 is 2 .
LCM of 744,4014 is 497736.
The greatest common factor of 4666/744,8030/4014 = [GCF of 4666,8030]/[LCM of 744,4014]= 2/497736
Therefore, the GCF of 4666/744,8030/4014 is 2/497736.
To find the highest common factor of 4666,8030, we have to find the factors of both numbers and list the highest common factor.
The factors of 4666 are 1, 2, 2333, 4666
The factors of 8030 are 1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030
The HCF of 4666,8030 is 2.
Lets's calculate GCF of 4666,8030
| 2 | 4666, 8030 |
| 2333, 4015 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4666,8030 By Matching Biggest Common Factor Method
Now, list down the factors of 4666
:1,2,2333,4666
Now, list down the factors of 8030
:1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030
Greatest Common Factor
We found the factors 4666,8030 . The biggest common factor number is the GCF number.
So the greatest common factor 4666,8030 is 2.
Lets's calculate LCM of 744,4014
| 2 | 744, 4014 |
| 3 | 372, 2007 |
| 124, 669 |
∴ So the LCM of the given numbers is 2 x 3 x 124 x 669 = 497736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/497736
Therefore, the GCF of Fractions 4666/744,8030/4014 is 2/497736
Least Common Multiple of 744,4014 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 744,4014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,4014) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(744,4014) x common factors =6 x 1 = 6
LCM(744,4014) = ( 744 × 4014 ) / 6
LCM(744,4014) = 2986416 / 6
LCM(744,4014) = 497736
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FAQs on GCF of Fractions of 4666/744, 8030/4014
1. What is the HCF of 4666,8030?
The HCF of 4666,8030 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 4666/744, 8030/4014?
Answer: GCF of Numerators as per given numbers 4666/744, 8030/4014 is
GCF of Numerators i.e. for 4666,8030 is 2
LCM of denominators i.e. for 744,4014 is 497736.
Thus, GCF of Fractions is 2/497736.Finally, GCF of Fractions for 4666/744, 8030/4014 is 2/497736.