Use our free GCF of Fractions Calculator tool to compute the GCF of 249/746, 717/284 i.e 3/105932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 249/746, 717/284.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/746,717/284
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 249/746,717/284, numerators are 249,717
Denominators are 746,284
The GCF of 249,717 is 3 .
LCM of 746,284 is 105932.
The greatest common factor of 249/746,717/284 = [GCF of 249,717]/[LCM of 746,284]= 3/105932
Therefore, the GCF of 249/746,717/284 is 3/105932.
To find the highest common factor of 249,717, we have to find the factors of both numbers and list the highest common factor.
The factors of 249 are 1, 3, 83, 249
The factors of 717 are 1, 3, 239, 717
The HCF of 249,717 is 3.
Lets's calculate GCF of 249,717
3 | 249, 717 |
83, 239 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 249
:1,3,83,249
Now, list down the factors of 717
:1,3,239,717
Greatest Common Factor
We found the factors 249,717 . The biggest common factor number is the GCF number.
So the greatest common factor 249,717 is 3.
Lets's calculate LCM of 746,284
2 | 746, 284 |
373, 142 |
∴ So the LCM of the given numbers is 2 x 373 x 142 = 105932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/105932
Therefore, the GCF of Fractions 249/746,717/284 is 3/105932
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 746,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,284) x common factors =2 x 1 = 2
LCM(746,284) = ( 746 × 284 ) / 2
LCM(746,284) = 211864 / 2
LCM(746,284) = 105932
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 249,717?
The HCF of 249,717 is 3
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 249/746, 717/284?
Answer: GCF of Numerators as per given numbers 249/746, 717/284 is
GCF of Numerators i.e. for 249,717 is 3
LCM of denominators i.e. for 746,284 is 105932.
Thus, GCF of Fractions is 3/105932.Finally, GCF of Fractions for 249/746, 717/284 is 3/105932.