GCF of 4055/335, 9705/3213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4055/335, 9705/3213 i.e 5/1076355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4055/335, 9705/3213.
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 4055/335,9705/3213?
Given fractions are 4055/335,9705/3213
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 4055/335,9705/3213, numerators are 4055,9705
Denominators are 335,3213
The GCF of 4055,9705 is 5 .
LCM of 335,3213 is 1076355.
The greatest common factor of 4055/335,9705/3213 = [GCF of 4055,9705]/[LCM of 335,3213]= 5/1076355
Therefore, the GCF of 4055/335,9705/3213 is 5/1076355.
To find the highest common factor of 4055,9705, we have to find the factors of both numbers and list the highest common factor.
The factors of 4055 are 1, 5, 811, 4055
The factors of 9705 are 1, 3, 5, 15, 647, 1941, 3235, 9705
The HCF of 4055,9705 is 5.
Lets's calculate GCF of 4055,9705
| 5 | 4055, 9705 |
| 811, 1941 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4055,9705 By Matching Biggest Common Factor Method
Now, list down the factors of 4055
:1,5,811,4055
Now, list down the factors of 9705
:1,3,5,15,647,1941,3235,9705
Greatest Common Factor
We found the factors 4055,9705 . The biggest common factor number is the GCF number.
So the greatest common factor 4055,9705 is 5.
Lets's calculate LCM of 335,3213
Given numbers has no common factors except 1. So, there LCM is their product i.e 1076355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1076355
Therefore, the GCF of Fractions 4055/335,9705/3213 is 5/1076355
Least Common Multiple of 335,3213 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 335,3213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,3213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,3213) x common factors =1 x 1 = 1
LCM(335,3213) = ( 335 × 3213 ) / 1
LCM(335,3213) = 1076355 / 1
LCM(335,3213) = 1076355
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FAQs on GCF of Fractions of 4055/335, 9705/3213
1. What is the HCF of 4055,9705?
The HCF of 4055,9705 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 4055/335, 9705/3213?
Answer: GCF of Numerators as per given numbers 4055/335, 9705/3213 is
GCF of Numerators i.e. for 4055,9705 is 5
LCM of denominators i.e. for 335,3213 is 1076355.
Thus, GCF of Fractions is 5/1076355.Finally, GCF of Fractions for 4055/335, 9705/3213 is 5/1076355.