Use our free GCF of Fractions Calculator tool to compute the GCF of 391/105, 6426/9658 i.e 17/1014090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/105, 6426/9658.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 391/105,6426/9658
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 391/105,6426/9658, numerators are 391,6426
Denominators are 105,9658
The GCF of 391,6426 is 17 .
LCM of 105,9658 is 1014090.
The greatest common factor of 391/105,6426/9658 = [GCF of 391,6426]/[LCM of 105,9658]= 17/1014090
Therefore, the GCF of 391/105,6426/9658 is 17/1014090.
To find the highest common factor of 391,6426, we have to find the factors of both numbers and list the highest common factor.
The factors of 391 are 1, 17, 23, 391
The factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426
The HCF of 391,6426 is 17.
Lets's calculate GCF of 391,6426
17 | 391, 6426 |
23, 378 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 6426
:1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426
Greatest Common Factor
We found the factors 391,6426 . The biggest common factor number is the GCF number.
So the greatest common factor 391,6426 is 17.
Lets's calculate LCM of 105,9658
Given numbers has no common factors except 1. So, there LCM is their product i.e 1014090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1014090
Therefore, the GCF of Fractions 391/105,6426/9658 is 17/1014090
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 105,9658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,9658) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,9658) x common factors =1 x 1 = 1
LCM(105,9658) = ( 105 × 9658 ) / 1
LCM(105,9658) = 1014090 / 1
LCM(105,9658) = 1014090
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 391,6426?
The HCF of 391,6426 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 391/105, 6426/9658?
Answer: GCF of Numerators as per given numbers 391/105, 6426/9658 is
GCF of Numerators i.e. for 391,6426 is 17
LCM of denominators i.e. for 105,9658 is 1014090.
Thus, GCF of Fractions is 17/1014090.Finally, GCF of Fractions for 391/105, 6426/9658 is 17/1014090.