GCF of 3383/757, 3910/8695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3383/757, 3910/8695 i.e 17/6582115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3383/757, 3910/8695.
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 3383/757,3910/8695?
Given fractions are 3383/757,3910/8695
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 3383/757,3910/8695, numerators are 3383,3910
Denominators are 757,8695
The GCF of 3383,3910 is 17 .
LCM of 757,8695 is 6582115.
The greatest common factor of 3383/757,3910/8695 = [GCF of 3383,3910]/[LCM of 757,8695]= 17/6582115
Therefore, the GCF of 3383/757,3910/8695 is 17/6582115.
To find the highest common factor of 3383,3910, we have to find the factors of both numbers and list the highest common factor.
The factors of 3383 are 1, 17, 199, 3383
The factors of 3910 are 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910
The HCF of 3383,3910 is 17.
Lets's calculate GCF of 3383,3910
| 17 | 3383, 3910 |
| 199, 230 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 3383,3910 By Matching Biggest Common Factor Method
Now, list down the factors of 3383
:1,17,199,3383
Now, list down the factors of 3910
:1,2,5,10,17,23,34,46,85,115,170,230,391,782,1955,3910
Greatest Common Factor
We found the factors 3383,3910 . The biggest common factor number is the GCF number.
So the greatest common factor 3383,3910 is 17.
Lets's calculate LCM of 757,8695
Given numbers has no common factors except 1. So, there LCM is their product i.e 6582115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/6582115
Therefore, the GCF of Fractions 3383/757,3910/8695 is 17/6582115
Least Common Multiple of 757,8695 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 757,8695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,8695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,8695) x common factors =1 x 1 = 1
LCM(757,8695) = ( 757 × 8695 ) / 1
LCM(757,8695) = 6582115 / 1
LCM(757,8695) = 6582115
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FAQs on GCF of Fractions of 3383/757, 3910/8695
1. What is the HCF of 3383,3910?
The HCF of 3383,3910 is 17
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 3383/757, 3910/8695?
Answer: GCF of Numerators as per given numbers 3383/757, 3910/8695 is
GCF of Numerators i.e. for 3383,3910 is 17
LCM of denominators i.e. for 757,8695 is 6582115.
Thus, GCF of Fractions is 17/6582115.Finally, GCF of Fractions for 3383/757, 3910/8695 is 17/6582115.