Use our free GCF of Fractions Calculator tool to compute the GCF of 133/378, 562/207 i.e 1/8694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 133/378, 562/207.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 133/378,562/207
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 133/378,562/207, numerators are 133,562
Denominators are 378,207
The GCF of 133,562 is 1 .
LCM of 378,207 is 8694.
The greatest common factor of 133/378,562/207 = [GCF of 133,562]/[LCM of 378,207]= 1/8694
Therefore, the GCF of 133/378,562/207 is 1/8694.
To find the highest common factor of 133,562, 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 562 are 1, 2, 281, 562
The HCF of 133,562 is 1.
Lets's calculate GCF of 133,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 133
:1,7,19,133
Now, list down the factors of 562
:1,2,281,562
Greatest Common Factor
We found the factors 133,562 . The biggest common factor number is the GCF number.
So the greatest common factor 133,562 is 1.
Lets's calculate LCM of 378,207
3 | 378, 207 |
3 | 126, 69 |
42, 23 |
∴ So the LCM of the given numbers is 3 x 3 x 42 x 23 = 8694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8694
Therefore, the GCF of Fractions 133/378,562/207 is 1/8694
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 378,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,207) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(378,207) x common factors =9 x 1 = 9
LCM(378,207) = ( 378 × 207 ) / 9
LCM(378,207) = 78246 / 9
LCM(378,207) = 8694
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 133,562?
The HCF of 133,562 is 1
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 133/378, 562/207?
Answer: GCF of Numerators as per given numbers 133/378, 562/207 is
GCF of Numerators i.e. for 133,562 is 1
LCM of denominators i.e. for 378,207 is 8694.
Thus, GCF of Fractions is 1/8694.Finally, GCF of Fractions for 133/378, 562/207 is 1/8694.