Use our free GCF of Fractions Calculator tool to compute the GCF of 127/242, 985/164 i.e 1/19844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 127/242, 985/164.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 127/242,985/164
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 127/242,985/164, numerators are 127,985
Denominators are 242,164
The GCF of 127,985 is 1 .
LCM of 242,164 is 19844.
The greatest common factor of 127/242,985/164 = [GCF of 127,985]/[LCM of 242,164]= 1/19844
Therefore, the GCF of 127/242,985/164 is 1/19844.
To find the highest common factor of 127,985, we have to find the factors of both numbers and list the highest common factor.
The factors of 127 are 1, 127
The factors of 985 are 1, 5, 197, 985
The HCF of 127,985 is 1.
Lets's calculate GCF of 127,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 127
:1,127
Now, list down the factors of 985
:1,5,197,985
Greatest Common Factor
We found the factors 127,985 . The biggest common factor number is the GCF number.
So the greatest common factor 127,985 is 1.
Lets's calculate LCM of 242,164
2 | 242, 164 |
121, 82 |
∴ So the LCM of the given numbers is 2 x 121 x 82 = 19844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19844
Therefore, the GCF of Fractions 127/242,985/164 is 1/19844
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 242,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,164) x common factors =2 x 1 = 2
LCM(242,164) = ( 242 × 164 ) / 2
LCM(242,164) = 39688 / 2
LCM(242,164) = 19844
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 127,985?
The HCF of 127,985 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 127/242, 985/164?
Answer: GCF of Numerators as per given numbers 127/242, 985/164 is
GCF of Numerators i.e. for 127,985 is 1
LCM of denominators i.e. for 242,164 is 19844.
Thus, GCF of Fractions is 1/19844.Finally, GCF of Fractions for 127/242, 985/164 is 1/19844.