GCF of 3006/588, 3803/8370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3006/588, 3803/8370 i.e 1/820260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3006/588, 3803/8370.
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 3006/588,3803/8370?
Given fractions are 3006/588,3803/8370
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 3006/588,3803/8370, numerators are 3006,3803
Denominators are 588,8370
The GCF of 3006,3803 is 1 .
LCM of 588,8370 is 820260.
The greatest common factor of 3006/588,3803/8370 = [GCF of 3006,3803]/[LCM of 588,8370]= 1/820260
Therefore, the GCF of 3006/588,3803/8370 is 1/820260.
To find the highest common factor of 3006,3803, we have to find the factors of both numbers and list the highest common factor.
The factors of 3006 are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006
The factors of 3803 are 1, 3803
The HCF of 3006,3803 is 1.
Lets's calculate GCF of 3006,3803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3006,3803 By Matching Biggest Common Factor Method
Now, list down the factors of 3006
:1,2,3,6,9,18,167,334,501,1002,1503,3006
Now, list down the factors of 3803
:1,3803
Greatest Common Factor
We found the factors 3006,3803 . The biggest common factor number is the GCF number.
So the greatest common factor 3006,3803 is 1.
Lets's calculate LCM of 588,8370
| 2 | 588, 8370 |
| 3 | 294, 4185 |
| 98, 1395 |
∴ So the LCM of the given numbers is 2 x 3 x 98 x 1395 = 820260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/820260
Therefore, the GCF of Fractions 3006/588,3803/8370 is 1/820260
Least Common Multiple of 588,8370 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 588,8370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,8370) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(588,8370) x common factors =6 x 1 = 6
LCM(588,8370) = ( 588 × 8370 ) / 6
LCM(588,8370) = 4921560 / 6
LCM(588,8370) = 820260
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3006/588, 3803/8370
1. What is the HCF of 3006,3803?
The HCF of 3006,3803 is 1
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 3006/588, 3803/8370?
Answer: GCF of Numerators as per given numbers 3006/588, 3803/8370 is
GCF of Numerators i.e. for 3006,3803 is 1
LCM of denominators i.e. for 588,8370 is 820260.
Thus, GCF of Fractions is 1/820260.Finally, GCF of Fractions for 3006/588, 3803/8370 is 1/820260.