GCF of 8006/471, 3084/140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8006/471, 3084/140 i.e 2/65940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8006/471, 3084/140.
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 8006/471,3084/140?
Given fractions are 8006/471,3084/140
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 8006/471,3084/140, numerators are 8006,3084
Denominators are 471,140
The GCF of 8006,3084 is 2 .
LCM of 471,140 is 65940.
The greatest common factor of 8006/471,3084/140 = [GCF of 8006,3084]/[LCM of 471,140]= 2/65940
Therefore, the GCF of 8006/471,3084/140 is 2/65940.
To find the highest common factor of 8006,3084, we have to find the factors of both numbers and list the highest common factor.
The factors of 8006 are 1, 2, 4003, 8006
The factors of 3084 are 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084
The HCF of 8006,3084 is 2.
Lets's calculate GCF of 8006,3084
| 2 | 8006, 3084 |
| 4003, 1542 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8006,3084 By Matching Biggest Common Factor Method
Now, list down the factors of 8006
:1,2,4003,8006
Now, list down the factors of 3084
:1,2,3,4,6,12,257,514,771,1028,1542,3084
Greatest Common Factor
We found the factors 8006,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 8006,3084 is 2.
Lets's calculate LCM of 471,140
Given numbers has no common factors except 1. So, there LCM is their product i.e 65940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65940
Therefore, the GCF of Fractions 8006/471,3084/140 is 2/65940
Least Common Multiple of 471,140 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 471,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,140) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,140) x common factors =1 x 1 = 1
LCM(471,140) = ( 471 × 140 ) / 1
LCM(471,140) = 65940 / 1
LCM(471,140) = 65940
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FAQs on GCF of Fractions of 8006/471, 3084/140
1. What is the HCF of 8006,3084?
The HCF of 8006,3084 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 8006/471, 3084/140?
Answer: GCF of Numerators as per given numbers 8006/471, 3084/140 is
GCF of Numerators i.e. for 8006,3084 is 2
LCM of denominators i.e. for 471,140 is 65940.
Thus, GCF of Fractions is 2/65940.Finally, GCF of Fractions for 8006/471, 3084/140 is 2/65940.