Use our free GCF of Fractions Calculator tool to compute the GCF of 989/723, 119/577 i.e 1/417171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 989/723, 119/577.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 989/723,119/577
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 989/723,119/577, numerators are 989,119
Denominators are 723,577
The GCF of 989,119 is 1 .
LCM of 723,577 is 417171.
The greatest common factor of 989/723,119/577 = [GCF of 989,119]/[LCM of 723,577]= 1/417171
Therefore, the GCF of 989/723,119/577 is 1/417171.
To find the highest common factor of 989,119, we have to find the factors of both numbers and list the highest common factor.
The factors of 989 are 1, 23, 43, 989
The factors of 119 are 1, 7, 17, 119
The HCF of 989,119 is 1.
Lets's calculate GCF of 989,119
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 989
:1,23,43,989
Now, list down the factors of 119
:1,7,17,119
Greatest Common Factor
We found the factors 989,119 . The biggest common factor number is the GCF number.
So the greatest common factor 989,119 is 1.
Lets's calculate LCM of 723,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 417171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417171
Therefore, the GCF of Fractions 989/723,119/577 is 1/417171
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 723,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,577) x common factors =1 x 1 = 1
LCM(723,577) = ( 723 × 577 ) / 1
LCM(723,577) = 417171 / 1
LCM(723,577) = 417171
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 989,119?
The HCF of 989,119 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 989/723, 119/577?
Answer: GCF of Numerators as per given numbers 989/723, 119/577 is
GCF of Numerators i.e. for 989,119 is 1
LCM of denominators i.e. for 723,577 is 417171.
Thus, GCF of Fractions is 1/417171.Finally, GCF of Fractions for 989/723, 119/577 is 1/417171.