GCF of 5171/865, 1235/3871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5171/865, 1235/3871 i.e 1/3348415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5171/865, 1235/3871.
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 5171/865,1235/3871?
Given fractions are 5171/865,1235/3871
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 5171/865,1235/3871, numerators are 5171,1235
Denominators are 865,3871
The GCF of 5171,1235 is 1 .
LCM of 865,3871 is 3348415.
The greatest common factor of 5171/865,1235/3871 = [GCF of 5171,1235]/[LCM of 865,3871]= 1/3348415
Therefore, the GCF of 5171/865,1235/3871 is 1/3348415.
To find the highest common factor of 5171,1235, we have to find the factors of both numbers and list the highest common factor.
The factors of 5171 are 1, 5171
The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235
The HCF of 5171,1235 is 1.
Lets's calculate GCF of 5171,1235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5171,1235 By Matching Biggest Common Factor Method
Now, list down the factors of 5171
:1,5171
Now, list down the factors of 1235
:1,5,13,19,65,95,247,1235
Greatest Common Factor
We found the factors 5171,1235 . The biggest common factor number is the GCF number.
So the greatest common factor 5171,1235 is 1.
Lets's calculate LCM of 865,3871
Given numbers has no common factors except 1. So, there LCM is their product i.e 3348415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3348415
Therefore, the GCF of Fractions 5171/865,1235/3871 is 1/3348415
Least Common Multiple of 865,3871 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 865,3871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,3871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,3871) x common factors =1 x 1 = 1
LCM(865,3871) = ( 865 × 3871 ) / 1
LCM(865,3871) = 3348415 / 1
LCM(865,3871) = 3348415
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FAQs on GCF of Fractions of 5171/865, 1235/3871
1. What is the HCF of 5171,1235?
The HCF of 5171,1235 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 5171/865, 1235/3871?
Answer: GCF of Numerators as per given numbers 5171/865, 1235/3871 is
GCF of Numerators i.e. for 5171,1235 is 1
LCM of denominators i.e. for 865,3871 is 3348415.
Thus, GCF of Fractions is 1/3348415.Finally, GCF of Fractions for 5171/865, 1235/3871 is 1/3348415.