Use our free GCF of Fractions Calculator tool to compute the GCF of 26/273, 37/867 i.e 1/78897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/273, 37/867.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/273,37/867
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 26/273,37/867, numerators are 26,37
Denominators are 273,867
The GCF of 26,37 is 1 .
LCM of 273,867 is 78897.
The greatest common factor of 26/273,37/867 = [GCF of 26,37]/[LCM of 273,867]= 1/78897
Therefore, the GCF of 26/273,37/867 is 1/78897.
To find the highest common factor of 26,37, we have to find the factors of both numbers and list the highest common factor.
The factors of 26 are 1, 2, 13, 26
The factors of 37 are 1, 37
The HCF of 26,37 is 1.
Lets's calculate GCF of 26,37
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 273,867
3 | 273, 867 |
91, 289 |
∴ So the LCM of the given numbers is 3 x 91 x 289 = 78897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78897
Therefore, the GCF of Fractions 26/273,37/867 is 1/78897
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 273,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,867) x common factors =3 x 1 = 3
LCM(273,867) = ( 273 × 867 ) / 3
LCM(273,867) = 236691 / 3
LCM(273,867) = 78897
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 26,37?
The HCF of 26,37 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 26/273, 37/867?
Answer: GCF of Numerators as per given numbers 26/273, 37/867 is
GCF of Numerators i.e. for 26,37 is 1
LCM of denominators i.e. for 273,867 is 78897.
Thus, GCF of Fractions is 1/78897.Finally, GCF of Fractions for 26/273, 37/867 is 1/78897.