Use our free GCF of Fractions Calculator tool to compute the GCF of 133/970, 126/384 i.e 7/186240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 133/970, 126/384.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 133/970,126/384
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 133/970,126/384, numerators are 133,126
Denominators are 970,384
The GCF of 133,126 is 7 .
LCM of 970,384 is 186240.
The greatest common factor of 133/970,126/384 = [GCF of 133,126]/[LCM of 970,384]= 7/186240
Therefore, the GCF of 133/970,126/384 is 7/186240.
To find the highest common factor of 133,126, we have to find the factors of both numbers and list the highest common factor.
The factors of 133 are 1, 7, 19, 133
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The HCF of 133,126 is 7.
Lets's calculate GCF of 133,126
7 | 133, 126 |
19, 18 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 133
:1,7,19,133
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 133,126 . The biggest common factor number is the GCF number.
So the greatest common factor 133,126 is 7.
Lets's calculate LCM of 970,384
2 | 970, 384 |
485, 192 |
∴ So the LCM of the given numbers is 2 x 485 x 192 = 186240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/186240
Therefore, the GCF of Fractions 133/970,126/384 is 7/186240
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 970,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,384) x common factors =2 x 1 = 2
LCM(970,384) = ( 970 × 384 ) / 2
LCM(970,384) = 372480 / 2
LCM(970,384) = 186240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 133,126?
The HCF of 133,126 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 133/970, 126/384?
Answer: GCF of Numerators as per given numbers 133/970, 126/384 is
GCF of Numerators i.e. for 133,126 is 7
LCM of denominators i.e. for 970,384 is 186240.
Thus, GCF of Fractions is 7/186240.Finally, GCF of Fractions for 133/970, 126/384 is 7/186240.