GCF of 5050/328, 3945/6576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5050/328, 3945/6576 i.e 5/269616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5050/328, 3945/6576.
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 5050/328,3945/6576?
Given fractions are 5050/328,3945/6576
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 5050/328,3945/6576, numerators are 5050,3945
Denominators are 328,6576
The GCF of 5050,3945 is 5 .
LCM of 328,6576 is 269616.
The greatest common factor of 5050/328,3945/6576 = [GCF of 5050,3945]/[LCM of 328,6576]= 5/269616
Therefore, the GCF of 5050/328,3945/6576 is 5/269616.
To find the highest common factor of 5050,3945, we have to find the factors of both numbers and list the highest common factor.
The factors of 5050 are 1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050
The factors of 3945 are 1, 3, 5, 15, 263, 789, 1315, 3945
The HCF of 5050,3945 is 5.
Lets's calculate GCF of 5050,3945
| 5 | 5050, 3945 |
| 1010, 789 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5050,3945 By Matching Biggest Common Factor Method
Now, list down the factors of 5050
:1,2,5,10,25,50,101,202,505,1010,2525,5050
Now, list down the factors of 3945
:1,3,5,15,263,789,1315,3945
Greatest Common Factor
We found the factors 5050,3945 . The biggest common factor number is the GCF number.
So the greatest common factor 5050,3945 is 5.
Lets's calculate LCM of 328,6576
| 2 | 328, 6576 |
| 2 | 164, 3288 |
| 2 | 82, 1644 |
| 41, 822 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 822 = 269616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/269616
Therefore, the GCF of Fractions 5050/328,3945/6576 is 5/269616
Least Common Multiple of 328,6576 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 328,6576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,6576) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(328,6576) x common factors =8 x 1 = 8
LCM(328,6576) = ( 328 × 6576 ) / 8
LCM(328,6576) = 2156928 / 8
LCM(328,6576) = 269616
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FAQs on GCF of Fractions of 5050/328, 3945/6576
1. What is the HCF of 5050,3945?
The HCF of 5050,3945 is 5
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 5050/328, 3945/6576?
Answer: GCF of Numerators as per given numbers 5050/328, 3945/6576 is
GCF of Numerators i.e. for 5050,3945 is 5
LCM of denominators i.e. for 328,6576 is 269616.
Thus, GCF of Fractions is 5/269616.Finally, GCF of Fractions for 5050/328, 3945/6576 is 5/269616.