Use our free GCF of Fractions Calculator tool to compute the GCF of 1963/973, 9149/8554 i.e 1/1189006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1963/973, 9149/8554.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1963/973,9149/8554
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 1963/973,9149/8554, numerators are 1963,9149
Denominators are 973,8554
The GCF of 1963,9149 is 1 .
LCM of 973,8554 is 1189006.
The greatest common factor of 1963/973,9149/8554 = [GCF of 1963,9149]/[LCM of 973,8554]= 1/1189006
Therefore, the GCF of 1963/973,9149/8554 is 1/1189006.
To find the highest common factor of 1963,9149, we have to find the factors of both numbers and list the highest common factor.
The factors of 1963 are 1, 13, 151, 1963
The factors of 9149 are 1, 7, 1307, 9149
The HCF of 1963,9149 is 1.
Lets's calculate GCF of 1963,9149
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1963
:1,13,151,1963
Now, list down the factors of 9149
:1,7,1307,9149
Greatest Common Factor
We found the factors 1963,9149 . The biggest common factor number is the GCF number.
So the greatest common factor 1963,9149 is 1.
Lets's calculate LCM of 973,8554
7 | 973, 8554 |
139, 1222 |
∴ So the LCM of the given numbers is 7 x 139 x 1222 = 1189006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1189006
Therefore, the GCF of Fractions 1963/973,9149/8554 is 1/1189006
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 973,8554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,8554) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(973,8554) x common factors =7 x 1 = 7
LCM(973,8554) = ( 973 × 8554 ) / 7
LCM(973,8554) = 8323042 / 7
LCM(973,8554) = 1189006
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1963,9149?
The HCF of 1963,9149 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 1963/973, 9149/8554?
Answer: GCF of Numerators as per given numbers 1963/973, 9149/8554 is
GCF of Numerators i.e. for 1963,9149 is 1
LCM of denominators i.e. for 973,8554 is 1189006.
Thus, GCF of Fractions is 1/1189006.Finally, GCF of Fractions for 1963/973, 9149/8554 is 1/1189006.