Use our free GCF of Fractions Calculator tool to compute the GCF of 760/583, 153/286 i.e 1/15158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/583, 153/286.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 760/583,153/286
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 760/583,153/286, numerators are 760,153
Denominators are 583,286
The GCF of 760,153 is 1 .
LCM of 583,286 is 15158.
The greatest common factor of 760/583,153/286 = [GCF of 760,153]/[LCM of 583,286]= 1/15158
Therefore, the GCF of 760/583,153/286 is 1/15158.
To find the highest common factor of 760,153, we have to find the factors of both numbers and list the highest common factor.
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 153 are 1, 3, 9, 17, 51, 153
The HCF of 760,153 is 1.
Lets's calculate GCF of 760,153
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 153
:1,3,9,17,51,153
Greatest Common Factor
We found the factors 760,153 . The biggest common factor number is the GCF number.
So the greatest common factor 760,153 is 1.
Lets's calculate LCM of 583,286
11 | 583, 286 |
53, 26 |
∴ So the LCM of the given numbers is 11 x 53 x 26 = 15158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15158
Therefore, the GCF of Fractions 760/583,153/286 is 1/15158
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 583,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,286) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(583,286) x common factors =11 x 1 = 11
LCM(583,286) = ( 583 × 286 ) / 11
LCM(583,286) = 166738 / 11
LCM(583,286) = 15158
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 760,153?
The HCF of 760,153 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 760/583, 153/286?
Answer: GCF of Numerators as per given numbers 760/583, 153/286 is
GCF of Numerators i.e. for 760,153 is 1
LCM of denominators i.e. for 583,286 is 15158.
Thus, GCF of Fractions is 1/15158.Finally, GCF of Fractions for 760/583, 153/286 is 1/15158.