Use our free GCF of Fractions Calculator tool to compute the GCF of 425/154, 655/913 i.e 5/12782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/154, 655/913.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 425/154,655/913
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 425/154,655/913, numerators are 425,655
Denominators are 154,913
The GCF of 425,655 is 5 .
LCM of 154,913 is 12782.
The greatest common factor of 425/154,655/913 = [GCF of 425,655]/[LCM of 154,913]= 5/12782
Therefore, the GCF of 425/154,655/913 is 5/12782.
To find the highest common factor of 425,655, we have to find the factors of both numbers and list the highest common factor.
The factors of 425 are 1, 5, 17, 25, 85, 425
The factors of 655 are 1, 5, 131, 655
The HCF of 425,655 is 5.
Lets's calculate GCF of 425,655
5 | 425, 655 |
85, 131 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 425
:1,5,17,25,85,425
Now, list down the factors of 655
:1,5,131,655
Greatest Common Factor
We found the factors 425,655 . The biggest common factor number is the GCF number.
So the greatest common factor 425,655 is 5.
Lets's calculate LCM of 154,913
11 | 154, 913 |
14, 83 |
∴ So the LCM of the given numbers is 11 x 14 x 83 = 12782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/12782
Therefore, the GCF of Fractions 425/154,655/913 is 5/12782
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 154,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,913) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(154,913) x common factors =11 x 1 = 11
LCM(154,913) = ( 154 × 913 ) / 11
LCM(154,913) = 140602 / 11
LCM(154,913) = 12782
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 425,655?
The HCF of 425,655 is 5
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 425/154, 655/913?
Answer: GCF of Numerators as per given numbers 425/154, 655/913 is
GCF of Numerators i.e. for 425,655 is 5
LCM of denominators i.e. for 154,913 is 12782.
Thus, GCF of Fractions is 5/12782.Finally, GCF of Fractions for 425/154, 655/913 is 5/12782.