Use our free GCF of Fractions Calculator tool to compute the GCF of 997/52, 129/110 i.e 1/2860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 997/52, 129/110.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 997/52,129/110
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 997/52,129/110, numerators are 997,129
Denominators are 52,110
The GCF of 997,129 is 1 .
LCM of 52,110 is 2860.
The greatest common factor of 997/52,129/110 = [GCF of 997,129]/[LCM of 52,110]= 1/2860
Therefore, the GCF of 997/52,129/110 is 1/2860.
To find the highest common factor of 997,129, we have to find the factors of both numbers and list the highest common factor.
The factors of 997 are 1, 997
The factors of 129 are 1, 3, 43, 129
The HCF of 997,129 is 1.
Lets's calculate GCF of 997,129
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 997
:1,997
Now, list down the factors of 129
:1,3,43,129
Greatest Common Factor
We found the factors 997,129 . The biggest common factor number is the GCF number.
So the greatest common factor 997,129 is 1.
Lets's calculate LCM of 52,110
2 | 52, 110 |
26, 55 |
∴ So the LCM of the given numbers is 2 x 26 x 55 = 2860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2860
Therefore, the GCF of Fractions 997/52,129/110 is 1/2860
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 52,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,110) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(52,110) x common factors =2 x 1 = 2
LCM(52,110) = ( 52 × 110 ) / 2
LCM(52,110) = 5720 / 2
LCM(52,110) = 2860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 997,129?
The HCF of 997,129 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 997/52, 129/110?
Answer: GCF of Numerators as per given numbers 997/52, 129/110 is
GCF of Numerators i.e. for 997,129 is 1
LCM of denominators i.e. for 52,110 is 2860.
Thus, GCF of Fractions is 1/2860.Finally, GCF of Fractions for 997/52, 129/110 is 1/2860.