Use our free GCF of Fractions Calculator tool to compute the GCF of 8107/621, 9350/679 i.e 11/421659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8107/621, 9350/679.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8107/621,9350/679
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 8107/621,9350/679, numerators are 8107,9350
Denominators are 621,679
The GCF of 8107,9350 is 11 .
LCM of 621,679 is 421659.
The greatest common factor of 8107/621,9350/679 = [GCF of 8107,9350]/[LCM of 621,679]= 11/421659
Therefore, the GCF of 8107/621,9350/679 is 11/421659.
To find the highest common factor of 8107,9350, 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 9350 are 1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 170, 187, 275, 374, 425, 550, 850, 935, 1870, 4675, 9350
The HCF of 8107,9350 is 11.
Lets's calculate GCF of 8107,9350
11 | 8107, 9350 |
737, 850 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 8107
:1,11,67,121,737,8107
Now, list down the factors of 9350
:1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350
Greatest Common Factor
We found the factors 8107,9350 . The biggest common factor number is the GCF number.
So the greatest common factor 8107,9350 is 11.
Lets's calculate LCM of 621,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 421659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/421659
Therefore, the GCF of Fractions 8107/621,9350/679 is 11/421659
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 621,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,679) x common factors =1 x 1 = 1
LCM(621,679) = ( 621 × 679 ) / 1
LCM(621,679) = 421659 / 1
LCM(621,679) = 421659
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8107,9350?
The HCF of 8107,9350 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 8107/621, 9350/679?
Answer: GCF of Numerators as per given numbers 8107/621, 9350/679 is
GCF of Numerators i.e. for 8107,9350 is 11
LCM of denominators i.e. for 621,679 is 421659.
Thus, GCF of Fractions is 11/421659.Finally, GCF of Fractions for 8107/621, 9350/679 is 11/421659.