Use our free GCF of Fractions Calculator tool to compute the GCF of 507/217, 890/865 i.e 1/187705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 507/217, 890/865.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 507/217,890/865
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 507/217,890/865, numerators are 507,890
Denominators are 217,865
The GCF of 507,890 is 1 .
LCM of 217,865 is 187705.
The greatest common factor of 507/217,890/865 = [GCF of 507,890]/[LCM of 217,865]= 1/187705
Therefore, the GCF of 507/217,890/865 is 1/187705.
To find the highest common factor of 507,890, we have to find the factors of both numbers and list the highest common factor.
The factors of 507 are 1, 3, 13, 39, 169, 507
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The HCF of 507,890 is 1.
Lets's calculate GCF of 507,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 507
:1,3,13,39,169,507
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 507,890 . The biggest common factor number is the GCF number.
So the greatest common factor 507,890 is 1.
Lets's calculate LCM of 217,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 187705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187705
Therefore, the GCF of Fractions 507/217,890/865 is 1/187705
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 217,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,865) x common factors =1 x 1 = 1
LCM(217,865) = ( 217 × 865 ) / 1
LCM(217,865) = 187705 / 1
LCM(217,865) = 187705
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 507,890?
The HCF of 507,890 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 507/217, 890/865?
Answer: GCF of Numerators as per given numbers 507/217, 890/865 is
GCF of Numerators i.e. for 507,890 is 1
LCM of denominators i.e. for 217,865 is 187705.
Thus, GCF of Fractions is 1/187705.Finally, GCF of Fractions for 507/217, 890/865 is 1/187705.