Use our free GCF of Fractions Calculator tool to compute the GCF of 9338/696, 6477/3229 i.e 1/2247384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9338/696, 6477/3229.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9338/696,6477/3229
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 9338/696,6477/3229, numerators are 9338,6477
Denominators are 696,3229
The GCF of 9338,6477 is 1 .
LCM of 696,3229 is 2247384.
The greatest common factor of 9338/696,6477/3229 = [GCF of 9338,6477]/[LCM of 696,3229]= 1/2247384
Therefore, the GCF of 9338/696,6477/3229 is 1/2247384.
To find the highest common factor of 9338,6477, we have to find the factors of both numbers and list the highest common factor.
The factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338
The factors of 6477 are 1, 3, 17, 51, 127, 381, 2159, 6477
The HCF of 9338,6477 is 1.
Lets's calculate GCF of 9338,6477
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9338
:1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338
Now, list down the factors of 6477
:1,3,17,51,127,381,2159,6477
Greatest Common Factor
We found the factors 9338,6477 . The biggest common factor number is the GCF number.
So the greatest common factor 9338,6477 is 1.
Lets's calculate LCM of 696,3229
Given numbers has no common factors except 1. So, there LCM is their product i.e 2247384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2247384
Therefore, the GCF of Fractions 9338/696,6477/3229 is 1/2247384
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 696,3229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,3229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(696,3229) x common factors =1 x 1 = 1
LCM(696,3229) = ( 696 × 3229 ) / 1
LCM(696,3229) = 2247384 / 1
LCM(696,3229) = 2247384
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9338,6477?
The HCF of 9338,6477 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 9338/696, 6477/3229?
Answer: GCF of Numerators as per given numbers 9338/696, 6477/3229 is
GCF of Numerators i.e. for 9338,6477 is 1
LCM of denominators i.e. for 696,3229 is 2247384.
Thus, GCF of Fractions is 1/2247384.Finally, GCF of Fractions for 9338/696, 6477/3229 is 1/2247384.