GCF of 555/241, 385/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 555/241, 385/105 i.e 5/25305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/241, 385/105.
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 555/241,385/105?
Given fractions are 555/241,385/105
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 555/241,385/105, numerators are 555,385
Denominators are 241,105
The GCF of 555,385 is 5 .
LCM of 241,105 is 25305.
The greatest common factor of 555/241,385/105 = [GCF of 555,385]/[LCM of 241,105]= 5/25305
Therefore, the GCF of 555/241,385/105 is 5/25305.
To find the highest common factor of 555,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 555,385 is 5.
Lets's calculate GCF of 555,385
| 5 | 555, 385 |
| 111, 77 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 555,385 By Matching Biggest Common Factor Method
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 555,385 . The biggest common factor number is the GCF number.
So the greatest common factor 555,385 is 5.
Lets's calculate LCM of 241,105
Given numbers has no common factors except 1. So, there LCM is their product i.e 25305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/25305
Therefore, the GCF of Fractions 555/241,385/105 is 5/25305
Least Common Multiple of 241,105 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 241,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,105) x common factors =1 x 1 = 1
LCM(241,105) = ( 241 × 105 ) / 1
LCM(241,105) = 25305 / 1
LCM(241,105) = 25305
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FAQs on GCF of Fractions of 555/241, 385/105
1. What is the HCF of 555,385?
The HCF of 555,385 is 5
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 555/241, 385/105?
Answer: GCF of Numerators as per given numbers 555/241, 385/105 is
GCF of Numerators i.e. for 555,385 is 5
LCM of denominators i.e. for 241,105 is 25305.
Thus, GCF of Fractions is 5/25305.Finally, GCF of Fractions for 555/241, 385/105 is 5/25305.