GCF of 8017/195, 4233/3485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8017/195, 4233/3485 i.e 1/135915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8017/195, 4233/3485.
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 8017/195,4233/3485?
Given fractions are 8017/195,4233/3485
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 8017/195,4233/3485, numerators are 8017,4233
Denominators are 195,3485
The GCF of 8017,4233 is 1 .
LCM of 195,3485 is 135915.
The greatest common factor of 8017/195,4233/3485 = [GCF of 8017,4233]/[LCM of 195,3485]= 1/135915
Therefore, the GCF of 8017/195,4233/3485 is 1/135915.
To find the highest common factor of 8017,4233, we have to find the factors of both numbers and list the highest common factor.
The factors of 8017 are 1, 8017
The factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233
The HCF of 8017,4233 is 1.
Lets's calculate GCF of 8017,4233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8017,4233 By Matching Biggest Common Factor Method
Now, list down the factors of 8017
:1,8017
Now, list down the factors of 4233
:1,3,17,51,83,249,1411,4233
Greatest Common Factor
We found the factors 8017,4233 . The biggest common factor number is the GCF number.
So the greatest common factor 8017,4233 is 1.
Lets's calculate LCM of 195,3485
| 5 | 195, 3485 |
| 39, 697 |
∴ So the LCM of the given numbers is 5 x 39 x 697 = 135915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135915
Therefore, the GCF of Fractions 8017/195,4233/3485 is 1/135915
Least Common Multiple of 195,3485 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 195,3485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,3485) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(195,3485) x common factors =5 x 1 = 5
LCM(195,3485) = ( 195 × 3485 ) / 5
LCM(195,3485) = 679575 / 5
LCM(195,3485) = 135915
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FAQs on GCF of Fractions of 8017/195, 4233/3485
1. What is the HCF of 8017,4233?
The HCF of 8017,4233 is 1
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 8017/195, 4233/3485?
Answer: GCF of Numerators as per given numbers 8017/195, 4233/3485 is
GCF of Numerators i.e. for 8017,4233 is 1
LCM of denominators i.e. for 195,3485 is 135915.
Thus, GCF of Fractions is 1/135915.Finally, GCF of Fractions for 8017/195, 4233/3485 is 1/135915.