Use our free GCF of Fractions Calculator tool to compute the GCF of 99/16, 214/17, 619/377 i.e 1/102544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/16, 214/17, 619/377.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/16,214/17,619/377
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 99/16,214/17,619/377, numerators are 99,214,619
Denominators are 16,17,377
The GCF of 99,214,619 is 1 .
LCM of 16,17,377 is 102544.
The greatest common factor of 99/16,214/17,619/377 = [GCF of 99,214,619]/[LCM of 16,17,377]= 1/102544
Therefore, the GCF of 99/16,214/17,619/377 is 1/102544.
To find the highest common factor of 99,214,619, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 214 are 1, 2, 107, 214
The factors of 619 are 1, 619
The HCF of 99,214,619 is 1.
Lets's calculate GCF of 99,214,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 214
:1,2,107,214
Now, list down the factors of 619
:1,619
Greatest Common Factor
We found the factors 99,214,619 . The biggest common factor number is the GCF number.
So the greatest common factor 99,214,619 is 1.
Lets's calculate LCM of 16,17,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 102544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102544
Therefore, the GCF of Fractions 99/16,214/17,619/377 is 1/102544
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 16,17,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,17,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,17,377) x common factors =1 x 1 = 1
LCM(16,17,377) = ( 16 × 17 × 377 ) / 1
LCM(16,17,377) = 102544 / 1
LCM(16,17,377) = 102544
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 99,214,619?
The HCF of 99,214,619 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 99/16, 214/17, 619/377?
Answer: GCF of Numerators as per given numbers 99/16, 214/17, 619/377 is
GCF of Numerators i.e. for 99,214,619 is 1
LCM of denominators i.e. for 16,17,377 is 102544.
Thus, GCF of Fractions is 1/102544.Finally, GCF of Fractions for 99/16, 214/17, 619/377 is 1/102544.