Use our free GCF of Fractions Calculator tool to compute the GCF of 146/197, 361/469 i.e 1/92393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/197, 361/469.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 146/197,361/469
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 146/197,361/469, numerators are 146,361
Denominators are 197,469
The GCF of 146,361 is 1 .
LCM of 197,469 is 92393.
The greatest common factor of 146/197,361/469 = [GCF of 146,361]/[LCM of 197,469]= 1/92393
Therefore, the GCF of 146/197,361/469 is 1/92393.
To find the highest common factor of 146,361, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 361 are 1, 19, 361
The HCF of 146,361 is 1.
Lets's calculate GCF of 146,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 361
:1,19,361
Greatest Common Factor
We found the factors 146,361 . The biggest common factor number is the GCF number.
So the greatest common factor 146,361 is 1.
Lets's calculate LCM of 197,469
Given numbers has no common factors except 1. So, there LCM is their product i.e 92393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92393
Therefore, the GCF of Fractions 146/197,361/469 is 1/92393
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 197,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,469) x common factors =1 x 1 = 1
LCM(197,469) = ( 197 × 469 ) / 1
LCM(197,469) = 92393 / 1
LCM(197,469) = 92393
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 146,361?
The HCF of 146,361 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 146/197, 361/469?
Answer: GCF of Numerators as per given numbers 146/197, 361/469 is
GCF of Numerators i.e. for 146,361 is 1
LCM of denominators i.e. for 197,469 is 92393.
Thus, GCF of Fractions is 1/92393.Finally, GCF of Fractions for 146/197, 361/469 is 1/92393.