Use our free GCF of Fractions Calculator tool to compute the GCF of 931/298, 238/792 i.e 7/118008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/298, 238/792.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 931/298,238/792
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 931/298,238/792, numerators are 931,238
Denominators are 298,792
The GCF of 931,238 is 7 .
LCM of 298,792 is 118008.
The greatest common factor of 931/298,238/792 = [GCF of 931,238]/[LCM of 298,792]= 7/118008
Therefore, the GCF of 931/298,238/792 is 7/118008.
To find the highest common factor of 931,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 931 are 1, 7, 19, 49, 133, 931
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 931,238 is 7.
Lets's calculate GCF of 931,238
7 | 931, 238 |
133, 34 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 931
:1,7,19,49,133,931
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 931,238 . The biggest common factor number is the GCF number.
So the greatest common factor 931,238 is 7.
Lets's calculate LCM of 298,792
2 | 298, 792 |
149, 396 |
∴ So the LCM of the given numbers is 2 x 149 x 396 = 118008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/118008
Therefore, the GCF of Fractions 931/298,238/792 is 7/118008
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 298,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,792) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,792) x common factors =2 x 1 = 2
LCM(298,792) = ( 298 × 792 ) / 2
LCM(298,792) = 236016 / 2
LCM(298,792) = 118008
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 931,238?
The HCF of 931,238 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 931/298, 238/792?
Answer: GCF of Numerators as per given numbers 931/298, 238/792 is
GCF of Numerators i.e. for 931,238 is 7
LCM of denominators i.e. for 298,792 is 118008.
Thus, GCF of Fractions is 7/118008.Finally, GCF of Fractions for 931/298, 238/792 is 7/118008.