Use our free GCF of Fractions Calculator tool to compute the GCF of 13/653, 69/951, 538/310 i.e 1/192510930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/653, 69/951, 538/310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/653,69/951,538/310
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 13/653,69/951,538/310, numerators are 13,69,538
Denominators are 653,951,310
The GCF of 13,69,538 is 1 .
LCM of 653,951,310 is 192510930.
The greatest common factor of 13/653,69/951,538/310 = [GCF of 13,69,538]/[LCM of 653,951,310]= 1/192510930
Therefore, the GCF of 13/653,69/951,538/310 is 1/192510930.
To find the highest common factor of 13,69,538, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 69 are 1, 3, 23, 69
The factors of 538 are 1, 2, 269, 538
The HCF of 13,69,538 is 1.
Lets's calculate GCF of 13,69,538
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 13
:1,13
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 538
:1,2,269,538
Greatest Common Factor
We found the factors 13,69,538 . The biggest common factor number is the GCF number.
So the greatest common factor 13,69,538 is 1.
Lets's calculate LCM of 653,951,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 192510930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192510930
Therefore, the GCF of Fractions 13/653,69/951,538/310 is 1/192510930
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 653,951,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,951,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,951,310) x common factors =1 x 1 = 1
LCM(653,951,310) = ( 653 × 951 × 310 ) / 1
LCM(653,951,310) = 192510930 / 1
LCM(653,951,310) = 192510930
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,69,538?
The HCF of 13,69,538 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 13/653, 69/951, 538/310?
Answer: GCF of Numerators as per given numbers 13/653, 69/951, 538/310 is
GCF of Numerators i.e. for 13,69,538 is 1
LCM of denominators i.e. for 653,951,310 is 192510930.
Thus, GCF of Fractions is 1/192510930.Finally, GCF of Fractions for 13/653, 69/951, 538/310 is 1/192510930.