Use our free GCF of Fractions Calculator tool to compute the GCF of 1922/143, 5519/1150 i.e 1/164450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1922/143, 5519/1150.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1922/143,5519/1150
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 1922/143,5519/1150, numerators are 1922,5519
Denominators are 143,1150
The GCF of 1922,5519 is 1 .
LCM of 143,1150 is 164450.
The greatest common factor of 1922/143,5519/1150 = [GCF of 1922,5519]/[LCM of 143,1150]= 1/164450
Therefore, the GCF of 1922/143,5519/1150 is 1/164450.
To find the highest common factor of 1922,5519, we have to find the factors of both numbers and list the highest common factor.
The factors of 1922 are 1, 2, 31, 62, 961, 1922
The factors of 5519 are 1, 5519
The HCF of 1922,5519 is 1.
Lets's calculate GCF of 1922,5519
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1922
:1,2,31,62,961,1922
Now, list down the factors of 5519
:1,5519
Greatest Common Factor
We found the factors 1922,5519 . The biggest common factor number is the GCF number.
So the greatest common factor 1922,5519 is 1.
Lets's calculate LCM of 143,1150
Given numbers has no common factors except 1. So, there LCM is their product i.e 164450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164450
Therefore, the GCF of Fractions 1922/143,5519/1150 is 1/164450
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 143,1150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,1150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,1150) x common factors =1 x 1 = 1
LCM(143,1150) = ( 143 × 1150 ) / 1
LCM(143,1150) = 164450 / 1
LCM(143,1150) = 164450
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1922,5519?
The HCF of 1922,5519 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 1922/143, 5519/1150?
Answer: GCF of Numerators as per given numbers 1922/143, 5519/1150 is
GCF of Numerators i.e. for 1922,5519 is 1
LCM of denominators i.e. for 143,1150 is 164450.
Thus, GCF of Fractions is 1/164450.Finally, GCF of Fractions for 1922/143, 5519/1150 is 1/164450.