Use our free GCF of Fractions Calculator tool to compute the GCF of 505/296, 627/818 i.e 1/121064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 505/296, 627/818.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 505/296,627/818
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 505/296,627/818, numerators are 505,627
Denominators are 296,818
The GCF of 505,627 is 1 .
LCM of 296,818 is 121064.
The greatest common factor of 505/296,627/818 = [GCF of 505,627]/[LCM of 296,818]= 1/121064
Therefore, the GCF of 505/296,627/818 is 1/121064.
To find the highest common factor of 505,627, we have to find the factors of both numbers and list the highest common factor.
The factors of 505 are 1, 5, 101, 505
The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627
The HCF of 505,627 is 1.
Lets's calculate GCF of 505,627
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 505
:1,5,101,505
Now, list down the factors of 627
:1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 505,627 . The biggest common factor number is the GCF number.
So the greatest common factor 505,627 is 1.
Lets's calculate LCM of 296,818
2 | 296, 818 |
148, 409 |
∴ So the LCM of the given numbers is 2 x 148 x 409 = 121064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121064
Therefore, the GCF of Fractions 505/296,627/818 is 1/121064
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 296,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(296,818) x common factors =2 x 1 = 2
LCM(296,818) = ( 296 × 818 ) / 2
LCM(296,818) = 242128 / 2
LCM(296,818) = 121064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 505,627?
The HCF of 505,627 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 505/296, 627/818?
Answer: GCF of Numerators as per given numbers 505/296, 627/818 is
GCF of Numerators i.e. for 505,627 is 1
LCM of denominators i.e. for 296,818 is 121064.
Thus, GCF of Fractions is 1/121064.Finally, GCF of Fractions for 505/296, 627/818 is 1/121064.