GCF of 4515/820, 3970/6035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4515/820, 3970/6035 i.e 5/989740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4515/820, 3970/6035.
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 4515/820,3970/6035?
Given fractions are 4515/820,3970/6035
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 4515/820,3970/6035, numerators are 4515,3970
Denominators are 820,6035
The GCF of 4515,3970 is 5 .
LCM of 820,6035 is 989740.
The greatest common factor of 4515/820,3970/6035 = [GCF of 4515,3970]/[LCM of 820,6035]= 5/989740
Therefore, the GCF of 4515/820,3970/6035 is 5/989740.
To find the highest common factor of 4515,3970, we have to find the factors of both numbers and list the highest common factor.
The factors of 4515 are 1, 3, 5, 7, 15, 21, 35, 43, 105, 129, 215, 301, 645, 903, 1505, 4515
The factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970
The HCF of 4515,3970 is 5.
Lets's calculate GCF of 4515,3970
| 5 | 4515, 3970 |
| 903, 794 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4515,3970 By Matching Biggest Common Factor Method
Now, list down the factors of 4515
:1,3,5,7,15,21,35,43,105,129,215,301,645,903,1505,4515
Now, list down the factors of 3970
:1,2,5,10,397,794,1985,3970
Greatest Common Factor
We found the factors 4515,3970 . The biggest common factor number is the GCF number.
So the greatest common factor 4515,3970 is 5.
Lets's calculate LCM of 820,6035
| 5 | 820, 6035 |
| 164, 1207 |
∴ So the LCM of the given numbers is 5 x 164 x 1207 = 989740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/989740
Therefore, the GCF of Fractions 4515/820,3970/6035 is 5/989740
Least Common Multiple of 820,6035 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 820,6035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,6035) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(820,6035) x common factors =5 x 1 = 5
LCM(820,6035) = ( 820 × 6035 ) / 5
LCM(820,6035) = 4948700 / 5
LCM(820,6035) = 989740
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FAQs on GCF of Fractions of 4515/820, 3970/6035
1. What is the HCF of 4515,3970?
The HCF of 4515,3970 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 4515/820, 3970/6035?
Answer: GCF of Numerators as per given numbers 4515/820, 3970/6035 is
GCF of Numerators i.e. for 4515,3970 is 5
LCM of denominators i.e. for 820,6035 is 989740.
Thus, GCF of Fractions is 5/989740.Finally, GCF of Fractions for 4515/820, 3970/6035 is 5/989740.