Use our free GCF of Fractions Calculator tool to compute the GCF of 92/232, 838/125, 238/552 i.e 2/2001000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/232, 838/125, 238/552.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/232,838/125,238/552
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 92/232,838/125,238/552, numerators are 92,838,238
Denominators are 232,125,552
The GCF of 92,838,238 is 2 .
LCM of 232,125,552 is 2001000.
The greatest common factor of 92/232,838/125,238/552 = [GCF of 92,838,238]/[LCM of 232,125,552]= 2/2001000
Therefore, the GCF of 92/232,838/125,238/552 is 2/2001000.
To find the highest common factor of 92,838,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 838 are 1, 2, 419, 838
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 92,838,238 is 2.
Lets's calculate GCF of 92,838,238
2 | 92, 838, 238 |
46, 419, 119 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 92,838,238 . The biggest common factor number is the GCF number.
So the greatest common factor 92,838,238 is 2.
Lets's calculate LCM of 232,125,552
2 | 232, 125, 552 |
2 | 116, 125, 276 |
2 | 58, 125, 138 |
29, 125, 69 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 125 x 69 = 2001000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2001000
Therefore, the GCF of Fractions 92/232,838/125,238/552 is 2/2001000
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 232,125,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,125,552) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(232,125,552) x common factors =1 x 8 = 8
LCM(232,125,552) = ( 232 × 125 × 552 ) / 8
LCM(232,125,552) = 16008000 / 8
LCM(232,125,552) = 2001000
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,838,238?
The HCF of 92,838,238 is 2
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 92/232, 838/125, 238/552?
Answer: GCF of Numerators as per given numbers 92/232, 838/125, 238/552 is
GCF of Numerators i.e. for 92,838,238 is 2
LCM of denominators i.e. for 232,125,552 is 2001000.
Thus, GCF of Fractions is 2/2001000.Finally, GCF of Fractions for 92/232, 838/125, 238/552 is 2/2001000.