Use our free GCF of Fractions Calculator tool to compute the GCF of 98/61, 115/40, 961/775 i.e 1/378200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/61, 115/40, 961/775.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/61,115/40,961/775
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 98/61,115/40,961/775, numerators are 98,115,961
Denominators are 61,40,775
The GCF of 98,115,961 is 1 .
LCM of 61,40,775 is 378200.
The greatest common factor of 98/61,115/40,961/775 = [GCF of 98,115,961]/[LCM of 61,40,775]= 1/378200
Therefore, the GCF of 98/61,115/40,961/775 is 1/378200.
To find the highest common factor of 98,115,961, 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 115 are 1, 5, 23, 115
The factors of 961 are 1, 31, 961
The HCF of 98,115,961 is 1.
Lets's calculate GCF of 98,115,961
∴ 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 115
:1,5,23,115
Now, list down the factors of 961
:1,31,961
Greatest Common Factor
We found the factors 98,115,961 . The biggest common factor number is the GCF number.
So the greatest common factor 98,115,961 is 1.
Lets's calculate LCM of 61,40,775
5 | 61, 40, 775 |
61, 8, 155 |
∴ So the LCM of the given numbers is 5 x 61 x 8 x 155 = 378200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378200
Therefore, the GCF of Fractions 98/61,115/40,961/775 is 1/378200
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 61,40,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,40,775) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(61,40,775) x common factors =1 x 5 = 5
LCM(61,40,775) = ( 61 × 40 × 775 ) / 5
LCM(61,40,775) = 1891000 / 5
LCM(61,40,775) = 378200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,115,961?
The HCF of 98,115,961 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 98/61, 115/40, 961/775?
Answer: GCF of Numerators as per given numbers 98/61, 115/40, 961/775 is
GCF of Numerators i.e. for 98,115,961 is 1
LCM of denominators i.e. for 61,40,775 is 378200.
Thus, GCF of Fractions is 1/378200.Finally, GCF of Fractions for 98/61, 115/40, 961/775 is 1/378200.