GCF of 4107/444, 9018/803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4107/444, 9018/803 i.e 3/356532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4107/444, 9018/803.
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 4107/444,9018/803?
Given fractions are 4107/444,9018/803
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 4107/444,9018/803, numerators are 4107,9018
Denominators are 444,803
The GCF of 4107,9018 is 3 .
LCM of 444,803 is 356532.
The greatest common factor of 4107/444,9018/803 = [GCF of 4107,9018]/[LCM of 444,803]= 3/356532
Therefore, the GCF of 4107/444,9018/803 is 3/356532.
To find the highest common factor of 4107,9018, 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 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018
The HCF of 4107,9018 is 3.
Lets's calculate GCF of 4107,9018
| 3 | 4107, 9018 |
| 1369, 3006 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4107,9018 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 9018
:1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018
Greatest Common Factor
We found the factors 4107,9018 . The biggest common factor number is the GCF number.
So the greatest common factor 4107,9018 is 3.
Lets's calculate LCM of 444,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 356532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/356532
Therefore, the GCF of Fractions 4107/444,9018/803 is 3/356532
Least Common Multiple of 444,803 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 444,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(444,803) x common factors =1 x 1 = 1
LCM(444,803) = ( 444 × 803 ) / 1
LCM(444,803) = 356532 / 1
LCM(444,803) = 356532
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FAQs on GCF of Fractions of 4107/444, 9018/803
1. What is the HCF of 4107,9018?
The HCF of 4107,9018 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 4107/444, 9018/803?
Answer: GCF of Numerators as per given numbers 4107/444, 9018/803 is
GCF of Numerators i.e. for 4107,9018 is 3
LCM of denominators i.e. for 444,803 is 356532.
Thus, GCF of Fractions is 3/356532.Finally, GCF of Fractions for 4107/444, 9018/803 is 3/356532.