Use our free GCF of Fractions Calculator tool to compute the GCF of 595/701, 401/941 i.e 1/659641 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/701, 401/941.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/701,401/941
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 595/701,401/941, numerators are 595,401
Denominators are 701,941
The GCF of 595,401 is 1 .
LCM of 701,941 is 659641.
The greatest common factor of 595/701,401/941 = [GCF of 595,401]/[LCM of 701,941]= 1/659641
Therefore, the GCF of 595/701,401/941 is 1/659641.
To find the highest common factor of 595,401, we have to find the factors of both numbers and list the highest common factor.
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The factors of 401 are 1, 401
The HCF of 595,401 is 1.
Lets's calculate GCF of 595,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Now, list down the factors of 401
:1,401
Greatest Common Factor
We found the factors 595,401 . The biggest common factor number is the GCF number.
So the greatest common factor 595,401 is 1.
Lets's calculate LCM of 701,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 659641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/659641
Therefore, the GCF of Fractions 595/701,401/941 is 1/659641
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 701,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,941) x common factors =1 x 1 = 1
LCM(701,941) = ( 701 × 941 ) / 1
LCM(701,941) = 659641 / 1
LCM(701,941) = 659641
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 595,401?
The HCF of 595,401 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 595/701, 401/941?
Answer: GCF of Numerators as per given numbers 595/701, 401/941 is
GCF of Numerators i.e. for 595,401 is 1
LCM of denominators i.e. for 701,941 is 659641.
Thus, GCF of Fractions is 1/659641.Finally, GCF of Fractions for 595/701, 401/941 is 1/659641.