GCF of 8151/130, 5125/1909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8151/130, 5125/1909 i.e 1/248170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8151/130, 5125/1909.
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 8151/130,5125/1909?
Given fractions are 8151/130,5125/1909
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 8151/130,5125/1909, numerators are 8151,5125
Denominators are 130,1909
The GCF of 8151,5125 is 1 .
LCM of 130,1909 is 248170.
The greatest common factor of 8151/130,5125/1909 = [GCF of 8151,5125]/[LCM of 130,1909]= 1/248170
Therefore, the GCF of 8151/130,5125/1909 is 1/248170.
To find the highest common factor of 8151,5125, we have to find the factors of both numbers and list the highest common factor.
The factors of 8151 are 1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151
The factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125
The HCF of 8151,5125 is 1.
Lets's calculate GCF of 8151,5125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8151,5125 By Matching Biggest Common Factor Method
Now, list down the factors of 8151
:1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151
Now, list down the factors of 5125
:1,5,25,41,125,205,1025,5125
Greatest Common Factor
We found the factors 8151,5125 . The biggest common factor number is the GCF number.
So the greatest common factor 8151,5125 is 1.
Lets's calculate LCM of 130,1909
Given numbers has no common factors except 1. So, there LCM is their product i.e 248170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248170
Therefore, the GCF of Fractions 8151/130,5125/1909 is 1/248170
Least Common Multiple of 130,1909 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 130,1909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,1909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,1909) x common factors =1 x 1 = 1
LCM(130,1909) = ( 130 × 1909 ) / 1
LCM(130,1909) = 248170 / 1
LCM(130,1909) = 248170
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FAQs on GCF of Fractions of 8151/130, 5125/1909
1. What is the HCF of 8151,5125?
The HCF of 8151,5125 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 8151/130, 5125/1909?
Answer: GCF of Numerators as per given numbers 8151/130, 5125/1909 is
GCF of Numerators i.e. for 8151,5125 is 1
LCM of denominators i.e. for 130,1909 is 248170.
Thus, GCF of Fractions is 1/248170.Finally, GCF of Fractions for 8151/130, 5125/1909 is 1/248170.