Use our free GCF of Fractions Calculator tool to compute the GCF of 395/701, 566/925 i.e 1/648425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 395/701, 566/925.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 395/701,566/925
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 395/701,566/925, numerators are 395,566
Denominators are 701,925
The GCF of 395,566 is 1 .
LCM of 701,925 is 648425.
The greatest common factor of 395/701,566/925 = [GCF of 395,566]/[LCM of 701,925]= 1/648425
Therefore, the GCF of 395/701,566/925 is 1/648425.
To find the highest common factor of 395,566, we have to find the factors of both numbers and list the highest common factor.
The factors of 395 are 1, 5, 79, 395
The factors of 566 are 1, 2, 283, 566
The HCF of 395,566 is 1.
Lets's calculate GCF of 395,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 395
:1,5,79,395
Now, list down the factors of 566
:1,2,283,566
Greatest Common Factor
We found the factors 395,566 . The biggest common factor number is the GCF number.
So the greatest common factor 395,566 is 1.
Lets's calculate LCM of 701,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 648425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648425
Therefore, the GCF of Fractions 395/701,566/925 is 1/648425
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 701,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,925) x common factors =1 x 1 = 1
LCM(701,925) = ( 701 × 925 ) / 1
LCM(701,925) = 648425 / 1
LCM(701,925) = 648425
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 395,566?
The HCF of 395,566 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 395/701, 566/925?
Answer: GCF of Numerators as per given numbers 395/701, 566/925 is
GCF of Numerators i.e. for 395,566 is 1
LCM of denominators i.e. for 701,925 is 648425.
Thus, GCF of Fractions is 1/648425.Finally, GCF of Fractions for 395/701, 566/925 is 1/648425.