Use our free GCF of Fractions Calculator tool to compute the GCF of 8245/674, 6766/7952 i.e 17/2679824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8245/674, 6766/7952.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8245/674,6766/7952
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 8245/674,6766/7952, numerators are 8245,6766
Denominators are 674,7952
The GCF of 8245,6766 is 17 .
LCM of 674,7952 is 2679824.
The greatest common factor of 8245/674,6766/7952 = [GCF of 8245,6766]/[LCM of 674,7952]= 17/2679824
Therefore, the GCF of 8245/674,6766/7952 is 17/2679824.
To find the highest common factor of 8245,6766, we have to find the factors of both numbers and list the highest common factor.
The factors of 8245 are 1, 5, 17, 85, 97, 485, 1649, 8245
The factors of 6766 are 1, 2, 17, 34, 199, 398, 3383, 6766
The HCF of 8245,6766 is 17.
Lets's calculate GCF of 8245,6766
17 | 8245, 6766 |
485, 398 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 8245
:1,5,17,85,97,485,1649,8245
Now, list down the factors of 6766
:1,2,17,34,199,398,3383,6766
Greatest Common Factor
We found the factors 8245,6766 . The biggest common factor number is the GCF number.
So the greatest common factor 8245,6766 is 17.
Lets's calculate LCM of 674,7952
2 | 674, 7952 |
337, 3976 |
∴ So the LCM of the given numbers is 2 x 337 x 3976 = 2679824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2679824
Therefore, the GCF of Fractions 8245/674,6766/7952 is 17/2679824
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 674,7952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,7952) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,7952) x common factors =2 x 1 = 2
LCM(674,7952) = ( 674 × 7952 ) / 2
LCM(674,7952) = 5359648 / 2
LCM(674,7952) = 2679824
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8245,6766?
The HCF of 8245,6766 is 17
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 8245/674, 6766/7952?
Answer: GCF of Numerators as per given numbers 8245/674, 6766/7952 is
GCF of Numerators i.e. for 8245,6766 is 17
LCM of denominators i.e. for 674,7952 is 2679824.
Thus, GCF of Fractions is 17/2679824.Finally, GCF of Fractions for 8245/674, 6766/7952 is 17/2679824.