GCF of 6003/615, 5646/3402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6003/615, 5646/3402 i.e 3/697410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6003/615, 5646/3402.
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 6003/615,5646/3402?
Given fractions are 6003/615,5646/3402
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 6003/615,5646/3402, numerators are 6003,5646
Denominators are 615,3402
The GCF of 6003,5646 is 3 .
LCM of 615,3402 is 697410.
The greatest common factor of 6003/615,5646/3402 = [GCF of 6003,5646]/[LCM of 615,3402]= 3/697410
Therefore, the GCF of 6003/615,5646/3402 is 3/697410.
To find the highest common factor of 6003,5646, we have to find the factors of both numbers and list the highest common factor.
The factors of 6003 are 1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003
The factors of 5646 are 1, 2, 3, 6, 941, 1882, 2823, 5646
The HCF of 6003,5646 is 3.
Lets's calculate GCF of 6003,5646
| 3 | 6003, 5646 |
| 2001, 1882 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6003,5646 By Matching Biggest Common Factor Method
Now, list down the factors of 6003
:1,3,9,23,29,69,87,207,261,667,2001,6003
Now, list down the factors of 5646
:1,2,3,6,941,1882,2823,5646
Greatest Common Factor
We found the factors 6003,5646 . The biggest common factor number is the GCF number.
So the greatest common factor 6003,5646 is 3.
Lets's calculate LCM of 615,3402
| 3 | 615, 3402 |
| 205, 1134 |
∴ So the LCM of the given numbers is 3 x 205 x 1134 = 697410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/697410
Therefore, the GCF of Fractions 6003/615,5646/3402 is 3/697410
Least Common Multiple of 615,3402 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 615,3402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,3402) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(615,3402) x common factors =3 x 1 = 3
LCM(615,3402) = ( 615 × 3402 ) / 3
LCM(615,3402) = 2092230 / 3
LCM(615,3402) = 697410
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FAQs on GCF of Fractions of 6003/615, 5646/3402
1. What is the HCF of 6003,5646?
The HCF of 6003,5646 is 3
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 6003/615, 5646/3402?
Answer: GCF of Numerators as per given numbers 6003/615, 5646/3402 is
GCF of Numerators i.e. for 6003,5646 is 3
LCM of denominators i.e. for 615,3402 is 697410.
Thus, GCF of Fractions is 3/697410.Finally, GCF of Fractions for 6003/615, 5646/3402 is 3/697410.