GCF of 6004/130, 6508/5742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6004/130, 6508/5742 i.e 4/373230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6004/130, 6508/5742.
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 6004/130,6508/5742?
Given fractions are 6004/130,6508/5742
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 6004/130,6508/5742, numerators are 6004,6508
Denominators are 130,5742
The GCF of 6004,6508 is 4 .
LCM of 130,5742 is 373230.
The greatest common factor of 6004/130,6508/5742 = [GCF of 6004,6508]/[LCM of 130,5742]= 4/373230
Therefore, the GCF of 6004/130,6508/5742 is 4/373230.
To find the highest common factor of 6004,6508, we have to find the factors of both numbers and list the highest common factor.
The factors of 6004 are 1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004
The factors of 6508 are 1, 2, 4, 1627, 3254, 6508
The HCF of 6004,6508 is 4.
Lets's calculate GCF of 6004,6508
| 2 | 6004, 6508 |
| 2 | 3002, 3254 |
| 1501, 1627 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6004,6508 By Matching Biggest Common Factor Method
Now, list down the factors of 6004
:1,2,4,19,38,76,79,158,316,1501,3002,6004
Now, list down the factors of 6508
:1,2,4,1627,3254,6508
Greatest Common Factor
We found the factors 6004,6508 . The biggest common factor number is the GCF number.
So the greatest common factor 6004,6508 is 4.
Lets's calculate LCM of 130,5742
| 2 | 130, 5742 |
| 65, 2871 |
∴ So the LCM of the given numbers is 2 x 65 x 2871 = 373230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/373230
Therefore, the GCF of Fractions 6004/130,6508/5742 is 4/373230
Least Common Multiple of 130,5742 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 130,5742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,5742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,5742) x common factors =2 x 1 = 2
LCM(130,5742) = ( 130 × 5742 ) / 2
LCM(130,5742) = 746460 / 2
LCM(130,5742) = 373230
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FAQs on GCF of Fractions of 6004/130, 6508/5742
1. What is the HCF of 6004,6508?
The HCF of 6004,6508 is 4
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 6004/130, 6508/5742?
Answer: GCF of Numerators as per given numbers 6004/130, 6508/5742 is
GCF of Numerators i.e. for 6004,6508 is 4
LCM of denominators i.e. for 130,5742 is 373230.
Thus, GCF of Fractions is 4/373230.Finally, GCF of Fractions for 6004/130, 6508/5742 is 4/373230.