Use our free GCF of Fractions Calculator tool to compute the GCF of 941/739, 257/977 i.e 1/722003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/739, 257/977.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/739,257/977
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 941/739,257/977, numerators are 941,257
Denominators are 739,977
The GCF of 941,257 is 1 .
LCM of 739,977 is 722003.
The greatest common factor of 941/739,257/977 = [GCF of 941,257]/[LCM of 739,977]= 1/722003
Therefore, the GCF of 941/739,257/977 is 1/722003.
To find the highest common factor of 941,257, we have to find the factors of both numbers and list the highest common factor.
The factors of 941 are 1, 941
The factors of 257 are 1, 257
The HCF of 941,257 is 1.
Lets's calculate GCF of 941,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 941
:1,941
Now, list down the factors of 257
:1,257
Greatest Common Factor
We found the factors 941,257 . The biggest common factor number is the GCF number.
So the greatest common factor 941,257 is 1.
Lets's calculate LCM of 739,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 722003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722003
Therefore, the GCF of Fractions 941/739,257/977 is 1/722003
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 739,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,977) x common factors =1 x 1 = 1
LCM(739,977) = ( 739 × 977 ) / 1
LCM(739,977) = 722003 / 1
LCM(739,977) = 722003
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 941,257?
The HCF of 941,257 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 941/739, 257/977?
Answer: GCF of Numerators as per given numbers 941/739, 257/977 is
GCF of Numerators i.e. for 941,257 is 1
LCM of denominators i.e. for 739,977 is 722003.
Thus, GCF of Fractions is 1/722003.Finally, GCF of Fractions for 941/739, 257/977 is 1/722003.