Use our free GCF of Fractions Calculator tool to compute the GCF of 8666/657, 9108/1876 i.e 2/1232532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8666/657, 9108/1876.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8666/657,9108/1876
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 8666/657,9108/1876, numerators are 8666,9108
Denominators are 657,1876
The GCF of 8666,9108 is 2 .
LCM of 657,1876 is 1232532.
The greatest common factor of 8666/657,9108/1876 = [GCF of 8666,9108]/[LCM of 657,1876]= 2/1232532
Therefore, the GCF of 8666/657,9108/1876 is 2/1232532.
To find the highest common factor of 8666,9108, we have to find the factors of both numbers and list the highest common factor.
The factors of 8666 are 1, 2, 7, 14, 619, 1238, 4333, 8666
The factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108
The HCF of 8666,9108 is 2.
Lets's calculate GCF of 8666,9108
2 | 8666, 9108 |
4333, 4554 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8666
:1,2,7,14,619,1238,4333,8666
Now, list down the factors of 9108
:1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108
Greatest Common Factor
We found the factors 8666,9108 . The biggest common factor number is the GCF number.
So the greatest common factor 8666,9108 is 2.
Lets's calculate LCM of 657,1876
Given numbers has no common factors except 1. So, there LCM is their product i.e 1232532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1232532
Therefore, the GCF of Fractions 8666/657,9108/1876 is 2/1232532
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 657,1876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,1876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,1876) x common factors =1 x 1 = 1
LCM(657,1876) = ( 657 × 1876 ) / 1
LCM(657,1876) = 1232532 / 1
LCM(657,1876) = 1232532
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8666,9108?
The HCF of 8666,9108 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 8666/657, 9108/1876?
Answer: GCF of Numerators as per given numbers 8666/657, 9108/1876 is
GCF of Numerators i.e. for 8666,9108 is 2
LCM of denominators i.e. for 657,1876 is 1232532.
Thus, GCF of Fractions is 2/1232532.Finally, GCF of Fractions for 8666/657, 9108/1876 is 2/1232532.