Use our free GCF of Fractions Calculator tool to compute the GCF of 5686/176, 5197/6068 i.e 1/266992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5686/176, 5197/6068.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5686/176,5197/6068
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 5686/176,5197/6068, numerators are 5686,5197
Denominators are 176,6068
The GCF of 5686,5197 is 1 .
LCM of 176,6068 is 266992.
The greatest common factor of 5686/176,5197/6068 = [GCF of 5686,5197]/[LCM of 176,6068]= 1/266992
Therefore, the GCF of 5686/176,5197/6068 is 1/266992.
To find the highest common factor of 5686,5197, we have to find the factors of both numbers and list the highest common factor.
The factors of 5686 are 1, 2, 2843, 5686
The factors of 5197 are 1, 5197
The HCF of 5686,5197 is 1.
Lets's calculate GCF of 5686,5197
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5686
:1,2,2843,5686
Now, list down the factors of 5197
:1,5197
Greatest Common Factor
We found the factors 5686,5197 . The biggest common factor number is the GCF number.
So the greatest common factor 5686,5197 is 1.
Lets's calculate LCM of 176,6068
2 | 176, 6068 |
2 | 88, 3034 |
44, 1517 |
∴ So the LCM of the given numbers is 2 x 2 x 44 x 1517 = 266992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266992
Therefore, the GCF of Fractions 5686/176,5197/6068 is 1/266992
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 176,6068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,6068) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(176,6068) x common factors =4 x 1 = 4
LCM(176,6068) = ( 176 × 6068 ) / 4
LCM(176,6068) = 1067968 / 4
LCM(176,6068) = 266992
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5686,5197?
The HCF of 5686,5197 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 5686/176, 5197/6068?
Answer: GCF of Numerators as per given numbers 5686/176, 5197/6068 is
GCF of Numerators i.e. for 5686,5197 is 1
LCM of denominators i.e. for 176,6068 is 266992.
Thus, GCF of Fractions is 1/266992.Finally, GCF of Fractions for 5686/176, 5197/6068 is 1/266992.