Use our free GCF of Fractions Calculator tool to compute the GCF of 983/250, 209/519 i.e 1/129750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 983/250, 209/519.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 983/250,209/519
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 983/250,209/519, numerators are 983,209
Denominators are 250,519
The GCF of 983,209 is 1 .
LCM of 250,519 is 129750.
The greatest common factor of 983/250,209/519 = [GCF of 983,209]/[LCM of 250,519]= 1/129750
Therefore, the GCF of 983/250,209/519 is 1/129750.
To find the highest common factor of 983,209, we have to find the factors of both numbers and list the highest common factor.
The factors of 983 are 1, 983
The factors of 209 are 1, 11, 19, 209
The HCF of 983,209 is 1.
Lets's calculate GCF of 983,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 983
:1,983
Now, list down the factors of 209
:1,11,19,209
Greatest Common Factor
We found the factors 983,209 . The biggest common factor number is the GCF number.
So the greatest common factor 983,209 is 1.
Lets's calculate LCM of 250,519
Given numbers has no common factors except 1. So, there LCM is their product i.e 129750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129750
Therefore, the GCF of Fractions 983/250,209/519 is 1/129750
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 250,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,519) x common factors =1 x 1 = 1
LCM(250,519) = ( 250 × 519 ) / 1
LCM(250,519) = 129750 / 1
LCM(250,519) = 129750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 983,209?
The HCF of 983,209 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 983/250, 209/519?
Answer: GCF of Numerators as per given numbers 983/250, 209/519 is
GCF of Numerators i.e. for 983,209 is 1
LCM of denominators i.e. for 250,519 is 129750.
Thus, GCF of Fractions is 1/129750.Finally, GCF of Fractions for 983/250, 209/519 is 1/129750.