GCF of 5055/401, 1107/9507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5055/401, 1107/9507 i.e 3/3812307 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5055/401, 1107/9507.
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 5055/401,1107/9507?
Given fractions are 5055/401,1107/9507
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 5055/401,1107/9507, numerators are 5055,1107
Denominators are 401,9507
The GCF of 5055,1107 is 3 .
LCM of 401,9507 is 3812307.
The greatest common factor of 5055/401,1107/9507 = [GCF of 5055,1107]/[LCM of 401,9507]= 3/3812307
Therefore, the GCF of 5055/401,1107/9507 is 3/3812307.
To find the highest common factor of 5055,1107, we have to find the factors of both numbers and list the highest common factor.
The factors of 5055 are 1, 3, 5, 15, 337, 1011, 1685, 5055
The factors of 1107 are 1, 3, 9, 27, 41, 123, 369, 1107
The HCF of 5055,1107 is 3.
Lets's calculate GCF of 5055,1107
| 3 | 5055, 1107 |
| 1685, 369 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5055,1107 By Matching Biggest Common Factor Method
Now, list down the factors of 5055
:1,3,5,15,337,1011,1685,5055
Now, list down the factors of 1107
:1,3,9,27,41,123,369,1107
Greatest Common Factor
We found the factors 5055,1107 . The biggest common factor number is the GCF number.
So the greatest common factor 5055,1107 is 3.
Lets's calculate LCM of 401,9507
Given numbers has no common factors except 1. So, there LCM is their product i.e 3812307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3812307
Therefore, the GCF of Fractions 5055/401,1107/9507 is 3/3812307
Least Common Multiple of 401,9507 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 401,9507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,9507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,9507) x common factors =1 x 1 = 1
LCM(401,9507) = ( 401 × 9507 ) / 1
LCM(401,9507) = 3812307 / 1
LCM(401,9507) = 3812307
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FAQs on GCF of Fractions of 5055/401, 1107/9507
1. What is the HCF of 5055,1107?
The HCF of 5055,1107 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 5055/401, 1107/9507?
Answer: GCF of Numerators as per given numbers 5055/401, 1107/9507 is
GCF of Numerators i.e. for 5055,1107 is 3
LCM of denominators i.e. for 401,9507 is 3812307.
Thus, GCF of Fractions is 3/3812307.Finally, GCF of Fractions for 5055/401, 1107/9507 is 3/3812307.