Use our free GCF of Fractions Calculator tool to compute the GCF of 8173/529, 6786/4597 i.e 1/2431813 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8173/529, 6786/4597.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8173/529,6786/4597
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 8173/529,6786/4597, numerators are 8173,6786
Denominators are 529,4597
The GCF of 8173,6786 is 1 .
LCM of 529,4597 is 2431813.
The greatest common factor of 8173/529,6786/4597 = [GCF of 8173,6786]/[LCM of 529,4597]= 1/2431813
Therefore, the GCF of 8173/529,6786/4597 is 1/2431813.
To find the highest common factor of 8173,6786, we have to find the factors of both numbers and list the highest common factor.
The factors of 8173 are 1, 11, 743, 8173
The factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786
The HCF of 8173,6786 is 1.
Lets's calculate GCF of 8173,6786
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8173
:1,11,743,8173
Now, list down the factors of 6786
:1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786
Greatest Common Factor
We found the factors 8173,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 8173,6786 is 1.
Lets's calculate LCM of 529,4597
Given numbers has no common factors except 1. So, there LCM is their product i.e 2431813
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2431813
Therefore, the GCF of Fractions 8173/529,6786/4597 is 1/2431813
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 529,4597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,4597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,4597) x common factors =1 x 1 = 1
LCM(529,4597) = ( 529 × 4597 ) / 1
LCM(529,4597) = 2431813 / 1
LCM(529,4597) = 2431813
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8173,6786?
The HCF of 8173,6786 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 8173/529, 6786/4597?
Answer: GCF of Numerators as per given numbers 8173/529, 6786/4597 is
GCF of Numerators i.e. for 8173,6786 is 1
LCM of denominators i.e. for 529,4597 is 2431813.
Thus, GCF of Fractions is 1/2431813.Finally, GCF of Fractions for 8173/529, 6786/4597 is 1/2431813.