Use our free GCF of Fractions Calculator tool to compute the GCF of 292/342, 992/292 i.e 4/49932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 292/342, 992/292.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 292/342,992/292
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 292/342,992/292, numerators are 292,992
Denominators are 342,292
The GCF of 292,992 is 4 .
LCM of 342,292 is 49932.
The greatest common factor of 292/342,992/292 = [GCF of 292,992]/[LCM of 342,292]= 4/49932
Therefore, the GCF of 292/342,992/292 is 4/49932.
To find the highest common factor of 292,992, we have to find the factors of both numbers and list the highest common factor.
The factors of 292 are 1, 2, 4, 73, 146, 292
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The HCF of 292,992 is 4.
Lets's calculate GCF of 292,992
2 | 292, 992 |
2 | 146, 496 |
73, 248 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 292
:1,2,4,73,146,292
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 292,992 . The biggest common factor number is the GCF number.
So the greatest common factor 292,992 is 4.
Lets's calculate LCM of 342,292
2 | 342, 292 |
171, 146 |
∴ So the LCM of the given numbers is 2 x 171 x 146 = 49932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/49932
Therefore, the GCF of Fractions 292/342,992/292 is 4/49932
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 342,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,292) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,292) x common factors =2 x 1 = 2
LCM(342,292) = ( 342 × 292 ) / 2
LCM(342,292) = 99864 / 2
LCM(342,292) = 49932
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 292,992?
The HCF of 292,992 is 4
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 292/342, 992/292?
Answer: GCF of Numerators as per given numbers 292/342, 992/292 is
GCF of Numerators i.e. for 292,992 is 4
LCM of denominators i.e. for 342,292 is 49932.
Thus, GCF of Fractions is 4/49932.Finally, GCF of Fractions for 292/342, 992/292 is 4/49932.