GCF of 8879/871, 9131/5172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8879/871, 9131/5172 i.e 1/4504812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8879/871, 9131/5172.
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 8879/871,9131/5172?
Given fractions are 8879/871,9131/5172
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 8879/871,9131/5172, numerators are 8879,9131
Denominators are 871,5172
The GCF of 8879,9131 is 1 .
LCM of 871,5172 is 4504812.
The greatest common factor of 8879/871,9131/5172 = [GCF of 8879,9131]/[LCM of 871,5172]= 1/4504812
Therefore, the GCF of 8879/871,9131/5172 is 1/4504812.
To find the highest common factor of 8879,9131, we have to find the factors of both numbers and list the highest common factor.
The factors of 8879 are 1, 13, 683, 8879
The factors of 9131 are 1, 23, 397, 9131
The HCF of 8879,9131 is 1.
Lets's calculate GCF of 8879,9131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8879,9131 By Matching Biggest Common Factor Method
Now, list down the factors of 8879
:1,13,683,8879
Now, list down the factors of 9131
:1,23,397,9131
Greatest Common Factor
We found the factors 8879,9131 . The biggest common factor number is the GCF number.
So the greatest common factor 8879,9131 is 1.
Lets's calculate LCM of 871,5172
Given numbers has no common factors except 1. So, there LCM is their product i.e 4504812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4504812
Therefore, the GCF of Fractions 8879/871,9131/5172 is 1/4504812
Least Common Multiple of 871,5172 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 871,5172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,5172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,5172) x common factors =1 x 1 = 1
LCM(871,5172) = ( 871 × 5172 ) / 1
LCM(871,5172) = 4504812 / 1
LCM(871,5172) = 4504812
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FAQs on GCF of Fractions of 8879/871, 9131/5172
1. What is the HCF of 8879,9131?
The HCF of 8879,9131 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 8879/871, 9131/5172?
Answer: GCF of Numerators as per given numbers 8879/871, 9131/5172 is
GCF of Numerators i.e. for 8879,9131 is 1
LCM of denominators i.e. for 871,5172 is 4504812.
Thus, GCF of Fractions is 1/4504812.Finally, GCF of Fractions for 8879/871, 9131/5172 is 1/4504812.