Use our free GCF of Fractions Calculator tool to compute the GCF of 193/149, 821/951 i.e 1/141699 easily. The following is the detailed procedure to determine the greatest common factor of fractions 193/149, 821/951.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 193/149,821/951
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 193/149,821/951, numerators are 193,821
Denominators are 149,951
The GCF of 193,821 is 1 .
LCM of 149,951 is 141699.
The greatest common factor of 193/149,821/951 = [GCF of 193,821]/[LCM of 149,951]= 1/141699
Therefore, the GCF of 193/149,821/951 is 1/141699.
To find the highest common factor of 193,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 193 are 1, 193
The factors of 821 are 1, 821
The HCF of 193,821 is 1.
Lets's calculate GCF of 193,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 193
:1,193
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 193,821 . The biggest common factor number is the GCF number.
So the greatest common factor 193,821 is 1.
Lets's calculate LCM of 149,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 141699
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141699
Therefore, the GCF of Fractions 193/149,821/951 is 1/141699
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 149,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,951) x common factors =1 x 1 = 1
LCM(149,951) = ( 149 × 951 ) / 1
LCM(149,951) = 141699 / 1
LCM(149,951) = 141699
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 193,821?
The HCF of 193,821 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 193/149, 821/951?
Answer: GCF of Numerators as per given numbers 193/149, 821/951 is
GCF of Numerators i.e. for 193,821 is 1
LCM of denominators i.e. for 149,951 is 141699.
Thus, GCF of Fractions is 1/141699.Finally, GCF of Fractions for 193/149, 821/951 is 1/141699.