Use our free GCF of Fractions Calculator tool to compute the GCF of 253/102, 655/610 i.e 1/31110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 253/102, 655/610.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 253/102,655/610
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 253/102,655/610, numerators are 253,655
Denominators are 102,610
The GCF of 253,655 is 1 .
LCM of 102,610 is 31110.
The greatest common factor of 253/102,655/610 = [GCF of 253,655]/[LCM of 102,610]= 1/31110
Therefore, the GCF of 253/102,655/610 is 1/31110.
To find the highest common factor of 253,655, we have to find the factors of both numbers and list the highest common factor.
The factors of 253 are 1, 11, 23, 253
The factors of 655 are 1, 5, 131, 655
The HCF of 253,655 is 1.
Lets's calculate GCF of 253,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 253
:1,11,23,253
Now, list down the factors of 655
:1,5,131,655
Greatest Common Factor
We found the factors 253,655 . The biggest common factor number is the GCF number.
So the greatest common factor 253,655 is 1.
Lets's calculate LCM of 102,610
2 | 102, 610 |
51, 305 |
∴ So the LCM of the given numbers is 2 x 51 x 305 = 31110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31110
Therefore, the GCF of Fractions 253/102,655/610 is 1/31110
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 102,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,610) x common factors =2 x 1 = 2
LCM(102,610) = ( 102 × 610 ) / 2
LCM(102,610) = 62220 / 2
LCM(102,610) = 31110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 253,655?
The HCF of 253,655 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 253/102, 655/610?
Answer: GCF of Numerators as per given numbers 253/102, 655/610 is
GCF of Numerators i.e. for 253,655 is 1
LCM of denominators i.e. for 102,610 is 31110.
Thus, GCF of Fractions is 1/31110.Finally, GCF of Fractions for 253/102, 655/610 is 1/31110.