Use our free GCF of Fractions Calculator tool to compute the GCF of 362/112, 126/791 i.e 2/12656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 362/112, 126/791.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 362/112,126/791
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 362/112,126/791, numerators are 362,126
Denominators are 112,791
The GCF of 362,126 is 2 .
LCM of 112,791 is 12656.
The greatest common factor of 362/112,126/791 = [GCF of 362,126]/[LCM of 112,791]= 2/12656
Therefore, the GCF of 362/112,126/791 is 2/12656.
To find the highest common factor of 362,126, we have to find the factors of both numbers and list the highest common factor.
The factors of 362 are 1, 2, 181, 362
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The HCF of 362,126 is 2.
Lets's calculate GCF of 362,126
2 | 362, 126 |
181, 63 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 362
:1,2,181,362
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 362,126 . The biggest common factor number is the GCF number.
So the greatest common factor 362,126 is 2.
Lets's calculate LCM of 112,791
7 | 112, 791 |
16, 113 |
∴ So the LCM of the given numbers is 7 x 16 x 113 = 12656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12656
Therefore, the GCF of Fractions 362/112,126/791 is 2/12656
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 112,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,791) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(112,791) x common factors =7 x 1 = 7
LCM(112,791) = ( 112 × 791 ) / 7
LCM(112,791) = 88592 / 7
LCM(112,791) = 12656
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 362,126?
The HCF of 362,126 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 362/112, 126/791?
Answer: GCF of Numerators as per given numbers 362/112, 126/791 is
GCF of Numerators i.e. for 362,126 is 2
LCM of denominators i.e. for 112,791 is 12656.
Thus, GCF of Fractions is 2/12656.Finally, GCF of Fractions for 362/112, 126/791 is 2/12656.