Use our free GCF of Fractions Calculator tool to compute the GCF of 899/998, 577/100 i.e 1/49900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/998, 577/100.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 899/998,577/100
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 899/998,577/100, numerators are 899,577
Denominators are 998,100
The GCF of 899,577 is 1 .
LCM of 998,100 is 49900.
The greatest common factor of 899/998,577/100 = [GCF of 899,577]/[LCM of 998,100]= 1/49900
Therefore, the GCF of 899/998,577/100 is 1/49900.
To find the highest common factor of 899,577, we have to find the factors of both numbers and list the highest common factor.
The factors of 899 are 1, 29, 31, 899
The factors of 577 are 1, 577
The HCF of 899,577 is 1.
Lets's calculate GCF of 899,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 899
:1,29,31,899
Now, list down the factors of 577
:1,577
Greatest Common Factor
We found the factors 899,577 . The biggest common factor number is the GCF number.
So the greatest common factor 899,577 is 1.
Lets's calculate LCM of 998,100
2 | 998, 100 |
499, 50 |
∴ So the LCM of the given numbers is 2 x 499 x 50 = 49900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49900
Therefore, the GCF of Fractions 899/998,577/100 is 1/49900
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 998,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,100) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,100) x common factors =2 x 1 = 2
LCM(998,100) = ( 998 × 100 ) / 2
LCM(998,100) = 99800 / 2
LCM(998,100) = 49900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 899,577?
The HCF of 899,577 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 899/998, 577/100?
Answer: GCF of Numerators as per given numbers 899/998, 577/100 is
GCF of Numerators i.e. for 899,577 is 1
LCM of denominators i.e. for 998,100 is 49900.
Thus, GCF of Fractions is 1/49900.Finally, GCF of Fractions for 899/998, 577/100 is 1/49900.