Use our free GCF of Fractions Calculator tool to compute the GCF of 51/176, 79/2849 i.e 1/45584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/176, 79/2849.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/176,79/2849
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 51/176,79/2849, numerators are 51,79
Denominators are 176,2849
The GCF of 51,79 is 1 .
LCM of 176,2849 is 45584.
The greatest common factor of 51/176,79/2849 = [GCF of 51,79]/[LCM of 176,2849]= 1/45584
Therefore, the GCF of 51/176,79/2849 is 1/45584.
To find the highest common factor of 51,79, we have to find the factors of both numbers and list the highest common factor.
The factors of 51 are 1, 3, 17, 51
The factors of 79 are 1, 79
The HCF of 51,79 is 1.
Lets's calculate GCF of 51,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 176,2849
11 | 176, 2849 |
16, 259 |
∴ So the LCM of the given numbers is 11 x 16 x 259 = 45584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45584
Therefore, the GCF of Fractions 51/176,79/2849 is 1/45584
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 176,2849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,2849) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(176,2849) x common factors =11 x 1 = 11
LCM(176,2849) = ( 176 × 2849 ) / 11
LCM(176,2849) = 501424 / 11
LCM(176,2849) = 45584
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 51,79?
The HCF of 51,79 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 51/176, 79/2849?
Answer: GCF of Numerators as per given numbers 51/176, 79/2849 is
GCF of Numerators i.e. for 51,79 is 1
LCM of denominators i.e. for 176,2849 is 45584.
Thus, GCF of Fractions is 1/45584.Finally, GCF of Fractions for 51/176, 79/2849 is 1/45584.