Use our free GCF of Fractions Calculator tool to compute the GCF of 191/508, 549/782 i.e 1/198628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 191/508, 549/782.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 191/508,549/782
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 191/508,549/782, numerators are 191,549
Denominators are 508,782
The GCF of 191,549 is 1 .
LCM of 508,782 is 198628.
The greatest common factor of 191/508,549/782 = [GCF of 191,549]/[LCM of 508,782]= 1/198628
Therefore, the GCF of 191/508,549/782 is 1/198628.
To find the highest common factor of 191,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 191 are 1, 191
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 191,549 is 1.
Lets's calculate GCF of 191,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 191
:1,191
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 191,549 . The biggest common factor number is the GCF number.
So the greatest common factor 191,549 is 1.
Lets's calculate LCM of 508,782
2 | 508, 782 |
254, 391 |
∴ So the LCM of the given numbers is 2 x 254 x 391 = 198628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198628
Therefore, the GCF of Fractions 191/508,549/782 is 1/198628
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 508,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,782) x common factors =2 x 1 = 2
LCM(508,782) = ( 508 × 782 ) / 2
LCM(508,782) = 397256 / 2
LCM(508,782) = 198628
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 191,549?
The HCF of 191,549 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 191/508, 549/782?
Answer: GCF of Numerators as per given numbers 191/508, 549/782 is
GCF of Numerators i.e. for 191,549 is 1
LCM of denominators i.e. for 508,782 is 198628.
Thus, GCF of Fractions is 1/198628.Finally, GCF of Fractions for 191/508, 549/782 is 1/198628.