Use our free GCF of Fractions Calculator tool to compute the GCF of 35/398, 259/602, 490/818 i.e 7/48997382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/398, 259/602, 490/818.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/398,259/602,490/818
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 35/398,259/602,490/818, numerators are 35,259,490
Denominators are 398,602,818
The GCF of 35,259,490 is 7 .
LCM of 398,602,818 is 48997382.
The greatest common factor of 35/398,259/602,490/818 = [GCF of 35,259,490]/[LCM of 398,602,818]= 7/48997382
Therefore, the GCF of 35/398,259/602,490/818 is 7/48997382.
To find the highest common factor of 35,259,490, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 259 are 1, 7, 37, 259
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The HCF of 35,259,490 is 7.
Lets's calculate GCF of 35,259,490
7 | 35, 259, 490 |
5, 37, 70 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 259
:1,7,37,259
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 35,259,490 . The biggest common factor number is the GCF number.
So the greatest common factor 35,259,490 is 7.
Lets's calculate LCM of 398,602,818
2 | 398, 602, 818 |
199, 301, 409 |
∴ So the LCM of the given numbers is 2 x 199 x 301 x 409 = 48997382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/48997382
Therefore, the GCF of Fractions 35/398,259/602,490/818 is 7/48997382
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 398,602,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,602,818) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(398,602,818) x common factors =2 x 2 = 4
LCM(398,602,818) = ( 398 × 602 × 818 ) / 4
LCM(398,602,818) = 195989528 / 4
LCM(398,602,818) = 48997382
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,259,490?
The HCF of 35,259,490 is 7
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 35/398, 259/602, 490/818?
Answer: GCF of Numerators as per given numbers 35/398, 259/602, 490/818 is
GCF of Numerators i.e. for 35,259,490 is 7
LCM of denominators i.e. for 398,602,818 is 48997382.
Thus, GCF of Fractions is 7/48997382.Finally, GCF of Fractions for 35/398, 259/602, 490/818 is 7/48997382.