GCF of 4449/629, 3877/3961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4449/629, 3877/3961 i.e 1/146557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4449/629, 3877/3961.
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 4449/629,3877/3961?
Given fractions are 4449/629,3877/3961
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 4449/629,3877/3961, numerators are 4449,3877
Denominators are 629,3961
The GCF of 4449,3877 is 1 .
LCM of 629,3961 is 146557.
The greatest common factor of 4449/629,3877/3961 = [GCF of 4449,3877]/[LCM of 629,3961]= 1/146557
Therefore, the GCF of 4449/629,3877/3961 is 1/146557.
To find the highest common factor of 4449,3877, we have to find the factors of both numbers and list the highest common factor.
The factors of 4449 are 1, 3, 1483, 4449
The factors of 3877 are 1, 3877
The HCF of 4449,3877 is 1.
Lets's calculate GCF of 4449,3877
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4449,3877 By Matching Biggest Common Factor Method
Now, list down the factors of 4449
:1,3,1483,4449
Now, list down the factors of 3877
:1,3877
Greatest Common Factor
We found the factors 4449,3877 . The biggest common factor number is the GCF number.
So the greatest common factor 4449,3877 is 1.
Lets's calculate LCM of 629,3961
| 17 | 629, 3961 |
| 37, 233 |
∴ So the LCM of the given numbers is 17 x 37 x 233 = 146557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146557
Therefore, the GCF of Fractions 4449/629,3877/3961 is 1/146557
Least Common Multiple of 629,3961 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 629,3961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,3961) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(629,3961) x common factors =17 x 1 = 17
LCM(629,3961) = ( 629 × 3961 ) / 17
LCM(629,3961) = 2491469 / 17
LCM(629,3961) = 146557
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4449/629, 3877/3961
1. What is the HCF of 4449,3877?
The HCF of 4449,3877 is 1
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 4449/629, 3877/3961?
Answer: GCF of Numerators as per given numbers 4449/629, 3877/3961 is
GCF of Numerators i.e. for 4449,3877 is 1
LCM of denominators i.e. for 629,3961 is 146557.
Thus, GCF of Fractions is 1/146557.Finally, GCF of Fractions for 4449/629, 3877/3961 is 1/146557.