Use our free GCF of Fractions Calculator tool to compute the GCF of 335/637, 634/784 i.e 1/10192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 335/637, 634/784.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 335/637,634/784
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 335/637,634/784, numerators are 335,634
Denominators are 637,784
The GCF of 335,634 is 1 .
LCM of 637,784 is 10192.
The greatest common factor of 335/637,634/784 = [GCF of 335,634]/[LCM of 637,784]= 1/10192
Therefore, the GCF of 335/637,634/784 is 1/10192.
To find the highest common factor of 335,634, we have to find the factors of both numbers and list the highest common factor.
The factors of 335 are 1, 5, 67, 335
The factors of 634 are 1, 2, 317, 634
The HCF of 335,634 is 1.
Lets's calculate GCF of 335,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 335
:1,5,67,335
Now, list down the factors of 634
:1,2,317,634
Greatest Common Factor
We found the factors 335,634 . The biggest common factor number is the GCF number.
So the greatest common factor 335,634 is 1.
Lets's calculate LCM of 637,784
7 | 637, 784 |
7 | 91, 112 |
13, 16 |
∴ So the LCM of the given numbers is 7 x 7 x 13 x 16 = 10192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10192
Therefore, the GCF of Fractions 335/637,634/784 is 1/10192
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 637,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,784) = 49
common factors(in case of two or more numbers have common factors) = 1
GCF(637,784) x common factors =49 x 1 = 49
LCM(637,784) = ( 637 × 784 ) / 49
LCM(637,784) = 499408 / 49
LCM(637,784) = 10192
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 335,634?
The HCF of 335,634 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 335/637, 634/784?
Answer: GCF of Numerators as per given numbers 335/637, 634/784 is
GCF of Numerators i.e. for 335,634 is 1
LCM of denominators i.e. for 637,784 is 10192.
Thus, GCF of Fractions is 1/10192.Finally, GCF of Fractions for 335/637, 634/784 is 1/10192.