GCF of 8682/871, 8270/4937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8682/871, 8270/4937 i.e 2/4300127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8682/871, 8270/4937.
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 8682/871,8270/4937?
Given fractions are 8682/871,8270/4937
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 8682/871,8270/4937, numerators are 8682,8270
Denominators are 871,4937
The GCF of 8682,8270 is 2 .
LCM of 871,4937 is 4300127.
The greatest common factor of 8682/871,8270/4937 = [GCF of 8682,8270]/[LCM of 871,4937]= 2/4300127
Therefore, the GCF of 8682/871,8270/4937 is 2/4300127.
To find the highest common factor of 8682,8270, we have to find the factors of both numbers and list the highest common factor.
The factors of 8682 are 1, 2, 3, 6, 1447, 2894, 4341, 8682
The factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270
The HCF of 8682,8270 is 2.
Lets's calculate GCF of 8682,8270
| 2 | 8682, 8270 |
| 4341, 4135 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8682,8270 By Matching Biggest Common Factor Method
Now, list down the factors of 8682
:1,2,3,6,1447,2894,4341,8682
Now, list down the factors of 8270
:1,2,5,10,827,1654,4135,8270
Greatest Common Factor
We found the factors 8682,8270 . The biggest common factor number is the GCF number.
So the greatest common factor 8682,8270 is 2.
Lets's calculate LCM of 871,4937
Given numbers has no common factors except 1. So, there LCM is their product i.e 4300127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4300127
Therefore, the GCF of Fractions 8682/871,8270/4937 is 2/4300127
Least Common Multiple of 871,4937 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 871,4937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,4937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,4937) x common factors =1 x 1 = 1
LCM(871,4937) = ( 871 × 4937 ) / 1
LCM(871,4937) = 4300127 / 1
LCM(871,4937) = 4300127
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FAQs on GCF of Fractions of 8682/871, 8270/4937
1. What is the HCF of 8682,8270?
The HCF of 8682,8270 is 2
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 8682/871, 8270/4937?
Answer: GCF of Numerators as per given numbers 8682/871, 8270/4937 is
GCF of Numerators i.e. for 8682,8270 is 2
LCM of denominators i.e. for 871,4937 is 4300127.
Thus, GCF of Fractions is 2/4300127.Finally, GCF of Fractions for 8682/871, 8270/4937 is 2/4300127.