Use our free GCF of Fractions Calculator tool to compute the GCF of 9163/321, 6283/8676 i.e 1/928332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9163/321, 6283/8676.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9163/321,6283/8676
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 9163/321,6283/8676, numerators are 9163,6283
Denominators are 321,8676
The GCF of 9163,6283 is 1 .
LCM of 321,8676 is 928332.
The greatest common factor of 9163/321,6283/8676 = [GCF of 9163,6283]/[LCM of 321,8676]= 1/928332
Therefore, the GCF of 9163/321,6283/8676 is 1/928332.
To find the highest common factor of 9163,6283, we have to find the factors of both numbers and list the highest common factor.
The factors of 9163 are 1, 7, 11, 17, 49, 77, 119, 187, 539, 833, 1309, 9163
The factors of 6283 are 1, 61, 103, 6283
The HCF of 9163,6283 is 1.
Lets's calculate GCF of 9163,6283
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9163
:1,7,11,17,49,77,119,187,539,833,1309,9163
Now, list down the factors of 6283
:1,61,103,6283
Greatest Common Factor
We found the factors 9163,6283 . The biggest common factor number is the GCF number.
So the greatest common factor 9163,6283 is 1.
Lets's calculate LCM of 321,8676
3 | 321, 8676 |
107, 2892 |
∴ So the LCM of the given numbers is 3 x 107 x 2892 = 928332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/928332
Therefore, the GCF of Fractions 9163/321,6283/8676 is 1/928332
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 321,8676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,8676) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,8676) x common factors =3 x 1 = 3
LCM(321,8676) = ( 321 × 8676 ) / 3
LCM(321,8676) = 2784996 / 3
LCM(321,8676) = 928332
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9163,6283?
The HCF of 9163,6283 is 1
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 9163/321, 6283/8676?
Answer: GCF of Numerators as per given numbers 9163/321, 6283/8676 is
GCF of Numerators i.e. for 9163,6283 is 1
LCM of denominators i.e. for 321,8676 is 928332.
Thus, GCF of Fractions is 1/928332.Finally, GCF of Fractions for 9163/321, 6283/8676 is 1/928332.