GCF of 6603/963, 7071/2709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6603/963, 7071/2709 i.e 3/289863 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6603/963, 7071/2709.
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 6603/963,7071/2709?
Given fractions are 6603/963,7071/2709
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 6603/963,7071/2709, numerators are 6603,7071
Denominators are 963,2709
The GCF of 6603,7071 is 3 .
LCM of 963,2709 is 289863.
The greatest common factor of 6603/963,7071/2709 = [GCF of 6603,7071]/[LCM of 963,2709]= 3/289863
Therefore, the GCF of 6603/963,7071/2709 is 3/289863.
To find the highest common factor of 6603,7071, we have to find the factors of both numbers and list the highest common factor.
The factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603
The factors of 7071 are 1, 3, 2357, 7071
The HCF of 6603,7071 is 3.
Lets's calculate GCF of 6603,7071
| 3 | 6603, 7071 |
| 2201, 2357 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6603,7071 By Matching Biggest Common Factor Method
Now, list down the factors of 6603
:1,3,31,71,93,213,2201,6603
Now, list down the factors of 7071
:1,3,2357,7071
Greatest Common Factor
We found the factors 6603,7071 . The biggest common factor number is the GCF number.
So the greatest common factor 6603,7071 is 3.
Lets's calculate LCM of 963,2709
| 3 | 963, 2709 |
| 3 | 321, 903 |
| 107, 301 |
∴ So the LCM of the given numbers is 3 x 3 x 107 x 301 = 289863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/289863
Therefore, the GCF of Fractions 6603/963,7071/2709 is 3/289863
Least Common Multiple of 963,2709 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 963,2709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,2709) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(963,2709) x common factors =9 x 1 = 9
LCM(963,2709) = ( 963 × 2709 ) / 9
LCM(963,2709) = 2608767 / 9
LCM(963,2709) = 289863
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FAQs on GCF of Fractions of 6603/963, 7071/2709
1. What is the HCF of 6603,7071?
The HCF of 6603,7071 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 6603/963, 7071/2709?
Answer: GCF of Numerators as per given numbers 6603/963, 7071/2709 is
GCF of Numerators i.e. for 6603,7071 is 3
LCM of denominators i.e. for 963,2709 is 289863.
Thus, GCF of Fractions is 3/289863.Finally, GCF of Fractions for 6603/963, 7071/2709 is 3/289863.