GCF of 8107/659, 4708/8494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8107/659, 4708/8494 i.e 11/5597546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8107/659, 4708/8494.
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 8107/659,4708/8494?
Given fractions are 8107/659,4708/8494
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 8107/659,4708/8494, numerators are 8107,4708
Denominators are 659,8494
The GCF of 8107,4708 is 11 .
LCM of 659,8494 is 5597546.
The greatest common factor of 8107/659,4708/8494 = [GCF of 8107,4708]/[LCM of 659,8494]= 11/5597546
Therefore, the GCF of 8107/659,4708/8494 is 11/5597546.
To find the highest common factor of 8107,4708, we have to find the factors of both numbers and list the highest common factor.
The factors of 8107 are 1, 11, 67, 121, 737, 8107
The factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708
The HCF of 8107,4708 is 11.
Lets's calculate GCF of 8107,4708
| 11 | 8107, 4708 |
| 737, 428 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8107,4708 By Matching Biggest Common Factor Method
Now, list down the factors of 8107
:1,11,67,121,737,8107
Now, list down the factors of 4708
:1,2,4,11,22,44,107,214,428,1177,2354,4708
Greatest Common Factor
We found the factors 8107,4708 . The biggest common factor number is the GCF number.
So the greatest common factor 8107,4708 is 11.
Lets's calculate LCM of 659,8494
Given numbers has no common factors except 1. So, there LCM is their product i.e 5597546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5597546
Therefore, the GCF of Fractions 8107/659,4708/8494 is 11/5597546
Least Common Multiple of 659,8494 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 659,8494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,8494) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,8494) x common factors =1 x 1 = 1
LCM(659,8494) = ( 659 × 8494 ) / 1
LCM(659,8494) = 5597546 / 1
LCM(659,8494) = 5597546
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FAQs on GCF of Fractions of 8107/659, 4708/8494
1. What is the HCF of 8107,4708?
The HCF of 8107,4708 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 8107/659, 4708/8494?
Answer: GCF of Numerators as per given numbers 8107/659, 4708/8494 is
GCF of Numerators i.e. for 8107,4708 is 11
LCM of denominators i.e. for 659,8494 is 5597546.
Thus, GCF of Fractions is 11/5597546.Finally, GCF of Fractions for 8107/659, 4708/8494 is 11/5597546.