Use our free GCF of Fractions Calculator tool to compute the GCF of 671/576, 896/192 i.e 1/576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 671/576, 896/192.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 671/576,896/192
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 671/576,896/192, numerators are 671,896
Denominators are 576,192
The GCF of 671,896 is 1 .
LCM of 576,192 is 576.
The greatest common factor of 671/576,896/192 = [GCF of 671,896]/[LCM of 576,192]= 1/576
Therefore, the GCF of 671/576,896/192 is 1/576.
To find the highest common factor of 671,896, we have to find the factors of both numbers and list the highest common factor.
The factors of 671 are 1, 11, 61, 671
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The HCF of 671,896 is 1.
Lets's calculate GCF of 671,896
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 671
:1,11,61,671
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 671,896 . The biggest common factor number is the GCF number.
So the greatest common factor 671,896 is 1.
Lets's calculate LCM of 576,192
2 | 576, 192 |
2 | 288, 96 |
2 | 144, 48 |
2 | 72, 24 |
2 | 36, 12 |
2 | 18, 6 |
3 | 9, 3 |
1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 3 = 576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576
Therefore, the GCF of Fractions 671/576,896/192 is 1/576
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 576,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,192) = 192
common factors(in case of two or more numbers have common factors) = 1
GCF(576,192) x common factors =192 x 1 = 192
LCM(576,192) = ( 576 × 192 ) / 192
LCM(576,192) = 110592 / 192
LCM(576,192) = 576
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 671,896?
The HCF of 671,896 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 671/576, 896/192?
Answer: GCF of Numerators as per given numbers 671/576, 896/192 is
GCF of Numerators i.e. for 671,896 is 1
LCM of denominators i.e. for 576,192 is 576.
Thus, GCF of Fractions is 1/576.Finally, GCF of Fractions for 671/576, 896/192 is 1/576.