Use our free GCF of Fractions Calculator tool to compute the GCF of 188/673, 564/437 i.e 188/294101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 188/673, 564/437.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 188/673,564/437
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 188/673,564/437, numerators are 188,564
Denominators are 673,437
The GCF of 188,564 is 188 .
LCM of 673,437 is 294101.
The greatest common factor of 188/673,564/437 = [GCF of 188,564]/[LCM of 673,437]= 188/294101
Therefore, the GCF of 188/673,564/437 is 188/294101.
To find the highest common factor of 188,564, we have to find the factors of both numbers and list the highest common factor.
The factors of 188 are 1, 2, 4, 47, 94, 188
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The HCF of 188,564 is 188.
Lets's calculate GCF of 188,564
2 | 188, 564 |
2 | 94, 282 |
47 | 47, 141 |
1, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 47 = 188
Now, list down the factors of 188
:1,2,4,47,94,188
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 188,564 . The biggest common factor number is the GCF number.
So the greatest common factor 188,564 is 188.
Lets's calculate LCM of 673,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 294101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 188/294101
Therefore, the GCF of Fractions 188/673,564/437 is 188/294101
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 673,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,437) x common factors =1 x 1 = 1
LCM(673,437) = ( 673 × 437 ) / 1
LCM(673,437) = 294101 / 1
LCM(673,437) = 294101
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 188,564?
The HCF of 188,564 is 188
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 188/673, 564/437?
Answer: GCF of Numerators as per given numbers 188/673, 564/437 is
GCF of Numerators i.e. for 188,564 is 188
LCM of denominators i.e. for 673,437 is 294101.
Thus, GCF of Fractions is 188/294101.Finally, GCF of Fractions for 188/673, 564/437 is 188/294101.