Use our free GCF of Fractions Calculator tool to compute the GCF of 98/41, 574/51, 137/491 i.e 1/1026681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/41, 574/51, 137/491.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/41,574/51,137/491
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 98/41,574/51,137/491, numerators are 98,574,137
Denominators are 41,51,491
The GCF of 98,574,137 is 1 .
LCM of 41,51,491 is 1026681.
The greatest common factor of 98/41,574/51,137/491 = [GCF of 98,574,137]/[LCM of 41,51,491]= 1/1026681
Therefore, the GCF of 98/41,574/51,137/491 is 1/1026681.
To find the highest common factor of 98,574,137, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 137 are 1, 137
The HCF of 98,574,137 is 1.
Lets's calculate GCF of 98,574,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 137
:1,137
Greatest Common Factor
We found the factors 98,574,137 . The biggest common factor number is the GCF number.
So the greatest common factor 98,574,137 is 1.
Lets's calculate LCM of 41,51,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 1026681
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1026681
Therefore, the GCF of Fractions 98/41,574/51,137/491 is 1/1026681
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 41,51,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,51,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,51,491) x common factors =1 x 1 = 1
LCM(41,51,491) = ( 41 × 51 × 491 ) / 1
LCM(41,51,491) = 1026681 / 1
LCM(41,51,491) = 1026681
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,574,137?
The HCF of 98,574,137 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 98/41, 574/51, 137/491?
Answer: GCF of Numerators as per given numbers 98/41, 574/51, 137/491 is
GCF of Numerators i.e. for 98,574,137 is 1
LCM of denominators i.e. for 41,51,491 is 1026681.
Thus, GCF of Fractions is 1/1026681.Finally, GCF of Fractions for 98/41, 574/51, 137/491 is 1/1026681.