Use our free GCF of Fractions Calculator tool to compute the GCF of 371/634, 245/328 i.e 7/103976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/634, 245/328.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 371/634,245/328
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 371/634,245/328, numerators are 371,245
Denominators are 634,328
The GCF of 371,245 is 7 .
LCM of 634,328 is 103976.
The greatest common factor of 371/634,245/328 = [GCF of 371,245]/[LCM of 634,328]= 7/103976
Therefore, the GCF of 371/634,245/328 is 7/103976.
To find the highest common factor of 371,245, we have to find the factors of both numbers and list the highest common factor.
The factors of 371 are 1, 7, 53, 371
The factors of 245 are 1, 5, 7, 35, 49, 245
The HCF of 371,245 is 7.
Lets's calculate GCF of 371,245
7 | 371, 245 |
53, 35 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 371
:1,7,53,371
Now, list down the factors of 245
:1,5,7,35,49,245
Greatest Common Factor
We found the factors 371,245 . The biggest common factor number is the GCF number.
So the greatest common factor 371,245 is 7.
Lets's calculate LCM of 634,328
2 | 634, 328 |
317, 164 |
∴ So the LCM of the given numbers is 2 x 317 x 164 = 103976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/103976
Therefore, the GCF of Fractions 371/634,245/328 is 7/103976
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 634,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,328) x common factors =2 x 1 = 2
LCM(634,328) = ( 634 × 328 ) / 2
LCM(634,328) = 207952 / 2
LCM(634,328) = 103976
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 371,245?
The HCF of 371,245 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 371/634, 245/328?
Answer: GCF of Numerators as per given numbers 371/634, 245/328 is
GCF of Numerators i.e. for 371,245 is 7
LCM of denominators i.e. for 634,328 is 103976.
Thus, GCF of Fractions is 7/103976.Finally, GCF of Fractions for 371/634, 245/328 is 7/103976.