GCF of 2871/902, 5717/5690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2871/902, 5717/5690 i.e 1/2566190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2871/902, 5717/5690.
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 2871/902,5717/5690?
Given fractions are 2871/902,5717/5690
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 2871/902,5717/5690, numerators are 2871,5717
Denominators are 902,5690
The GCF of 2871,5717 is 1 .
LCM of 902,5690 is 2566190.
The greatest common factor of 2871/902,5717/5690 = [GCF of 2871,5717]/[LCM of 902,5690]= 1/2566190
Therefore, the GCF of 2871/902,5717/5690 is 1/2566190.
To find the highest common factor of 2871,5717, we have to find the factors of both numbers and list the highest common factor.
The factors of 2871 are 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871
The factors of 5717 are 1, 5717
The HCF of 2871,5717 is 1.
Lets's calculate GCF of 2871,5717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2871,5717 By Matching Biggest Common Factor Method
Now, list down the factors of 2871
:1,3,9,11,29,33,87,99,261,319,957,2871
Now, list down the factors of 5717
:1,5717
Greatest Common Factor
We found the factors 2871,5717 . The biggest common factor number is the GCF number.
So the greatest common factor 2871,5717 is 1.
Lets's calculate LCM of 902,5690
| 2 | 902, 5690 |
| 451, 2845 |
∴ So the LCM of the given numbers is 2 x 451 x 2845 = 2566190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2566190
Therefore, the GCF of Fractions 2871/902,5717/5690 is 1/2566190
Least Common Multiple of 902,5690 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 902,5690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,5690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,5690) x common factors =2 x 1 = 2
LCM(902,5690) = ( 902 × 5690 ) / 2
LCM(902,5690) = 5132380 / 2
LCM(902,5690) = 2566190
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2871/902, 5717/5690
1. What is the HCF of 2871,5717?
The HCF of 2871,5717 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 2871/902, 5717/5690?
Answer: GCF of Numerators as per given numbers 2871/902, 5717/5690 is
GCF of Numerators i.e. for 2871,5717 is 1
LCM of denominators i.e. for 902,5690 is 2566190.
Thus, GCF of Fractions is 1/2566190.Finally, GCF of Fractions for 2871/902, 5717/5690 is 1/2566190.