GCF of 4107/788, 4449/1675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4107/788, 4449/1675 i.e 3/1319900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4107/788, 4449/1675.
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 4107/788,4449/1675?
Given fractions are 4107/788,4449/1675
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 4107/788,4449/1675, numerators are 4107,4449
Denominators are 788,1675
The GCF of 4107,4449 is 3 .
LCM of 788,1675 is 1319900.
The greatest common factor of 4107/788,4449/1675 = [GCF of 4107,4449]/[LCM of 788,1675]= 3/1319900
Therefore, the GCF of 4107/788,4449/1675 is 3/1319900.
To find the highest common factor of 4107,4449, we have to find the factors of both numbers and list the highest common factor.
The factors of 4107 are 1, 3, 37, 111, 1369, 4107
The factors of 4449 are 1, 3, 1483, 4449
The HCF of 4107,4449 is 3.
Lets's calculate GCF of 4107,4449
| 3 | 4107, 4449 |
| 1369, 1483 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4107,4449 By Matching Biggest Common Factor Method
Now, list down the factors of 4107
:1,3,37,111,1369,4107
Now, list down the factors of 4449
:1,3,1483,4449
Greatest Common Factor
We found the factors 4107,4449 . The biggest common factor number is the GCF number.
So the greatest common factor 4107,4449 is 3.
Lets's calculate LCM of 788,1675
Given numbers has no common factors except 1. So, there LCM is their product i.e 1319900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1319900
Therefore, the GCF of Fractions 4107/788,4449/1675 is 3/1319900
Least Common Multiple of 788,1675 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 788,1675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,1675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,1675) x common factors =1 x 1 = 1
LCM(788,1675) = ( 788 × 1675 ) / 1
LCM(788,1675) = 1319900 / 1
LCM(788,1675) = 1319900
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FAQs on GCF of Fractions of 4107/788, 4449/1675
1. What is the HCF of 4107,4449?
The HCF of 4107,4449 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 4107/788, 4449/1675?
Answer: GCF of Numerators as per given numbers 4107/788, 4449/1675 is
GCF of Numerators i.e. for 4107,4449 is 3
LCM of denominators i.e. for 788,1675 is 1319900.
Thus, GCF of Fractions is 3/1319900.Finally, GCF of Fractions for 4107/788, 4449/1675 is 3/1319900.