GCF of 8371/211, 8877/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8371/211, 8877/509 i.e 11/107399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8371/211, 8877/509.
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 8371/211,8877/509?
Given fractions are 8371/211,8877/509
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 8371/211,8877/509, numerators are 8371,8877
Denominators are 211,509
The GCF of 8371,8877 is 11 .
LCM of 211,509 is 107399.
The greatest common factor of 8371/211,8877/509 = [GCF of 8371,8877]/[LCM of 211,509]= 11/107399
Therefore, the GCF of 8371/211,8877/509 is 11/107399.
To find the highest common factor of 8371,8877, we have to find the factors of both numbers and list the highest common factor.
The factors of 8371 are 1, 11, 761, 8371
The factors of 8877 are 1, 3, 11, 33, 269, 807, 2959, 8877
The HCF of 8371,8877 is 11.
Lets's calculate GCF of 8371,8877
| 11 | 8371, 8877 |
| 761, 807 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8371,8877 By Matching Biggest Common Factor Method
Now, list down the factors of 8371
:1,11,761,8371
Now, list down the factors of 8877
:1,3,11,33,269,807,2959,8877
Greatest Common Factor
We found the factors 8371,8877 . The biggest common factor number is the GCF number.
So the greatest common factor 8371,8877 is 11.
Lets's calculate LCM of 211,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 107399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/107399
Therefore, the GCF of Fractions 8371/211,8877/509 is 11/107399
Least Common Multiple of 211,509 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 211,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,509) x common factors =1 x 1 = 1
LCM(211,509) = ( 211 × 509 ) / 1
LCM(211,509) = 107399 / 1
LCM(211,509) = 107399
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FAQs on GCF of Fractions of 8371/211, 8877/509
1. What is the HCF of 8371,8877?
The HCF of 8371,8877 is 11
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 8371/211, 8877/509?
Answer: GCF of Numerators as per given numbers 8371/211, 8877/509 is
GCF of Numerators i.e. for 8371,8877 is 11
LCM of denominators i.e. for 211,509 is 107399.
Thus, GCF of Fractions is 11/107399.Finally, GCF of Fractions for 8371/211, 8877/509 is 11/107399.