GCF of 4233/130, 8105/5310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4233/130, 8105/5310 i.e 1/69030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4233/130, 8105/5310.
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 4233/130,8105/5310?
Given fractions are 4233/130,8105/5310
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 4233/130,8105/5310, numerators are 4233,8105
Denominators are 130,5310
The GCF of 4233,8105 is 1 .
LCM of 130,5310 is 69030.
The greatest common factor of 4233/130,8105/5310 = [GCF of 4233,8105]/[LCM of 130,5310]= 1/69030
Therefore, the GCF of 4233/130,8105/5310 is 1/69030.
To find the highest common factor of 4233,8105, we have to find the factors of both numbers and list the highest common factor.
The factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233
The factors of 8105 are 1, 5, 1621, 8105
The HCF of 4233,8105 is 1.
Lets's calculate GCF of 4233,8105
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4233,8105 By Matching Biggest Common Factor Method
Now, list down the factors of 4233
:1,3,17,51,83,249,1411,4233
Now, list down the factors of 8105
:1,5,1621,8105
Greatest Common Factor
We found the factors 4233,8105 . The biggest common factor number is the GCF number.
So the greatest common factor 4233,8105 is 1.
Lets's calculate LCM of 130,5310
| 2 | 130, 5310 |
| 5 | 65, 2655 |
| 13, 531 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 531 = 69030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69030
Therefore, the GCF of Fractions 4233/130,8105/5310 is 1/69030
Least Common Multiple of 130,5310 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 130,5310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,5310) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(130,5310) x common factors =10 x 1 = 10
LCM(130,5310) = ( 130 × 5310 ) / 10
LCM(130,5310) = 690300 / 10
LCM(130,5310) = 69030
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FAQs on GCF of Fractions of 4233/130, 8105/5310
1. What is the HCF of 4233,8105?
The HCF of 4233,8105 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 4233/130, 8105/5310?
Answer: GCF of Numerators as per given numbers 4233/130, 8105/5310 is
GCF of Numerators i.e. for 4233,8105 is 1
LCM of denominators i.e. for 130,5310 is 69030.
Thus, GCF of Fractions is 1/69030.Finally, GCF of Fractions for 4233/130, 8105/5310 is 1/69030.