GCF of 3639/339, 4815/7641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3639/339, 4815/7641 i.e 3/863433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3639/339, 4815/7641.
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 3639/339,4815/7641?
Given fractions are 3639/339,4815/7641
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 3639/339,4815/7641, numerators are 3639,4815
Denominators are 339,7641
The GCF of 3639,4815 is 3 .
LCM of 339,7641 is 863433.
The greatest common factor of 3639/339,4815/7641 = [GCF of 3639,4815]/[LCM of 339,7641]= 3/863433
Therefore, the GCF of 3639/339,4815/7641 is 3/863433.
To find the highest common factor of 3639,4815, we have to find the factors of both numbers and list the highest common factor.
The factors of 3639 are 1, 3, 1213, 3639
The factors of 4815 are 1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815
The HCF of 3639,4815 is 3.
Lets's calculate GCF of 3639,4815
| 3 | 3639, 4815 |
| 1213, 1605 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3639,4815 By Matching Biggest Common Factor Method
Now, list down the factors of 3639
:1,3,1213,3639
Now, list down the factors of 4815
:1,3,5,9,15,45,107,321,535,963,1605,4815
Greatest Common Factor
We found the factors 3639,4815 . The biggest common factor number is the GCF number.
So the greatest common factor 3639,4815 is 3.
Lets's calculate LCM of 339,7641
| 3 | 339, 7641 |
| 113, 2547 |
∴ So the LCM of the given numbers is 3 x 113 x 2547 = 863433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/863433
Therefore, the GCF of Fractions 3639/339,4815/7641 is 3/863433
Least Common Multiple of 339,7641 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 339,7641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,7641) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(339,7641) x common factors =3 x 1 = 3
LCM(339,7641) = ( 339 × 7641 ) / 3
LCM(339,7641) = 2590299 / 3
LCM(339,7641) = 863433
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FAQs on GCF of Fractions of 3639/339, 4815/7641
1. What is the HCF of 3639,4815?
The HCF of 3639,4815 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 3639/339, 4815/7641?
Answer: GCF of Numerators as per given numbers 3639/339, 4815/7641 is
GCF of Numerators i.e. for 3639,4815 is 3
LCM of denominators i.e. for 339,7641 is 863433.
Thus, GCF of Fractions is 3/863433.Finally, GCF of Fractions for 3639/339, 4815/7641 is 3/863433.