Use our free GCF of Fractions Calculator tool to compute the GCF of 98/208, 2766/3492 i.e 2/181584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/208, 2766/3492.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/208,2766/3492
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 98/208,2766/3492, numerators are 98,2766
Denominators are 208,3492
The GCF of 98,2766 is 2 .
LCM of 208,3492 is 181584.
The greatest common factor of 98/208,2766/3492 = [GCF of 98,2766]/[LCM of 208,3492]= 2/181584
Therefore, the GCF of 98/208,2766/3492 is 2/181584.
To find the highest common factor of 98,2766, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766
The HCF of 98,2766 is 2.
Lets's calculate GCF of 98,2766
2 | 98, 2766 |
49, 1383 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 2766
:1,2,3,6,461,922,1383,2766
Greatest Common Factor
We found the factors 98,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 98,2766 is 2.
Lets's calculate LCM of 208,3492
2 | 208, 3492 |
2 | 104, 1746 |
52, 873 |
∴ So the LCM of the given numbers is 2 x 2 x 52 x 873 = 181584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181584
Therefore, the GCF of Fractions 98/208,2766/3492 is 2/181584
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 208,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,3492) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(208,3492) x common factors =4 x 1 = 4
LCM(208,3492) = ( 208 × 3492 ) / 4
LCM(208,3492) = 726336 / 4
LCM(208,3492) = 181584
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,2766?
The HCF of 98,2766 is 2
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 98/208, 2766/3492?
Answer: GCF of Numerators as per given numbers 98/208, 2766/3492 is
GCF of Numerators i.e. for 98,2766 is 2
LCM of denominators i.e. for 208,3492 is 181584.
Thus, GCF of Fractions is 2/181584.Finally, GCF of Fractions for 98/208, 2766/3492 is 2/181584.