GCF of 4044/705, 6489/6828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4044/705, 6489/6828 i.e 3/1604580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4044/705, 6489/6828.
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 4044/705,6489/6828?
Given fractions are 4044/705,6489/6828
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 4044/705,6489/6828, numerators are 4044,6489
Denominators are 705,6828
The GCF of 4044,6489 is 3 .
LCM of 705,6828 is 1604580.
The greatest common factor of 4044/705,6489/6828 = [GCF of 4044,6489]/[LCM of 705,6828]= 3/1604580
Therefore, the GCF of 4044/705,6489/6828 is 3/1604580.
To find the highest common factor of 4044,6489, we have to find the factors of both numbers and list the highest common factor.
The factors of 4044 are 1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044
The factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489
The HCF of 4044,6489 is 3.
Lets's calculate GCF of 4044,6489
| 3 | 4044, 6489 |
| 1348, 2163 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4044,6489 By Matching Biggest Common Factor Method
Now, list down the factors of 4044
:1,2,3,4,6,12,337,674,1011,1348,2022,4044
Now, list down the factors of 6489
:1,3,7,9,21,63,103,309,721,927,2163,6489
Greatest Common Factor
We found the factors 4044,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 4044,6489 is 3.
Lets's calculate LCM of 705,6828
| 3 | 705, 6828 |
| 235, 2276 |
∴ So the LCM of the given numbers is 3 x 235 x 2276 = 1604580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1604580
Therefore, the GCF of Fractions 4044/705,6489/6828 is 3/1604580
Least Common Multiple of 705,6828 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 705,6828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,6828) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,6828) x common factors =3 x 1 = 3
LCM(705,6828) = ( 705 × 6828 ) / 3
LCM(705,6828) = 4813740 / 3
LCM(705,6828) = 1604580
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FAQs on GCF of Fractions of 4044/705, 6489/6828
1. What is the HCF of 4044,6489?
The HCF of 4044,6489 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 4044/705, 6489/6828?
Answer: GCF of Numerators as per given numbers 4044/705, 6489/6828 is
GCF of Numerators i.e. for 4044,6489 is 3
LCM of denominators i.e. for 705,6828 is 1604580.
Thus, GCF of Fractions is 3/1604580.Finally, GCF of Fractions for 4044/705, 6489/6828 is 3/1604580.