Use our free GCF of Fractions Calculator tool to compute the GCF of 585/761, 5686/118 i.e 1/89798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 585/761, 5686/118.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 585/761,5686/118
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 585/761,5686/118, numerators are 585,5686
Denominators are 761,118
The GCF of 585,5686 is 1 .
LCM of 761,118 is 89798.
The greatest common factor of 585/761,5686/118 = [GCF of 585,5686]/[LCM of 761,118]= 1/89798
Therefore, the GCF of 585/761,5686/118 is 1/89798.
To find the highest common factor of 585,5686, we have to find the factors of both numbers and list the highest common factor.
The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
The factors of 5686 are 1, 2, 2843, 5686
The HCF of 585,5686 is 1.
Lets's calculate GCF of 585,5686
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 585
:1,3,5,9,13,15,39,45,65,117,195,585
Now, list down the factors of 5686
:1,2,2843,5686
Greatest Common Factor
We found the factors 585,5686 . The biggest common factor number is the GCF number.
So the greatest common factor 585,5686 is 1.
Lets's calculate LCM of 761,118
Given numbers has no common factors except 1. So, there LCM is their product i.e 89798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89798
Therefore, the GCF of Fractions 585/761,5686/118 is 1/89798
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 761,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,118) x common factors =1 x 1 = 1
LCM(761,118) = ( 761 × 118 ) / 1
LCM(761,118) = 89798 / 1
LCM(761,118) = 89798
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 585,5686?
The HCF of 585,5686 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 585/761, 5686/118?
Answer: GCF of Numerators as per given numbers 585/761, 5686/118 is
GCF of Numerators i.e. for 585,5686 is 1
LCM of denominators i.e. for 761,118 is 89798.
Thus, GCF of Fractions is 1/89798.Finally, GCF of Fractions for 585/761, 5686/118 is 1/89798.