Use our free GCF of Fractions Calculator tool to compute the GCF of 35/10, 392/81, 663/410 i.e 1/33210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/10, 392/81, 663/410.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/10,392/81,663/410
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 35/10,392/81,663/410, numerators are 35,392,663
Denominators are 10,81,410
The GCF of 35,392,663 is 1 .
LCM of 10,81,410 is 33210.
The greatest common factor of 35/10,392/81,663/410 = [GCF of 35,392,663]/[LCM of 10,81,410]= 1/33210
Therefore, the GCF of 35/10,392/81,663/410 is 1/33210.
To find the highest common factor of 35,392,663, 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 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 35,392,663 is 1.
Lets's calculate GCF of 35,392,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 35,392,663 . The biggest common factor number is the GCF number.
So the greatest common factor 35,392,663 is 1.
Lets's calculate LCM of 10,81,410
2 | 10, 81, 410 |
5 | 5, 81, 205 |
1, 81, 41 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 81 x 41 = 33210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33210
Therefore, the GCF of Fractions 35/10,392/81,663/410 is 1/33210
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 10,81,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,81,410) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(10,81,410) x common factors =1 x 10 = 10
LCM(10,81,410) = ( 10 × 81 × 410 ) / 10
LCM(10,81,410) = 332100 / 10
LCM(10,81,410) = 33210
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,392,663?
The HCF of 35,392,663 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 35/10, 392/81, 663/410?
Answer: GCF of Numerators as per given numbers 35/10, 392/81, 663/410 is
GCF of Numerators i.e. for 35,392,663 is 1
LCM of denominators i.e. for 10,81,410 is 33210.
Thus, GCF of Fractions is 1/33210.Finally, GCF of Fractions for 35/10, 392/81, 663/410 is 1/33210.