Use our free GCF of Fractions Calculator tool to compute the GCF of 548/116, 766/216 i.e 2/6264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/116, 766/216.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/116,766/216
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 548/116,766/216, numerators are 548,766
Denominators are 116,216
The GCF of 548,766 is 2 .
LCM of 116,216 is 6264.
The greatest common factor of 548/116,766/216 = [GCF of 548,766]/[LCM of 116,216]= 2/6264
Therefore, the GCF of 548/116,766/216 is 2/6264.
To find the highest common factor of 548,766, we have to find the factors of both numbers and list the highest common factor.
The factors of 548 are 1, 2, 4, 137, 274, 548
The factors of 766 are 1, 2, 383, 766
The HCF of 548,766 is 2.
Lets's calculate GCF of 548,766
2 | 548, 766 |
274, 383 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 548
:1,2,4,137,274,548
Now, list down the factors of 766
:1,2,383,766
Greatest Common Factor
We found the factors 548,766 . The biggest common factor number is the GCF number.
So the greatest common factor 548,766 is 2.
Lets's calculate LCM of 116,216
2 | 116, 216 |
2 | 58, 108 |
29, 54 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 54 = 6264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6264
Therefore, the GCF of Fractions 548/116,766/216 is 2/6264
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 116,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,216) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,216) x common factors =4 x 1 = 4
LCM(116,216) = ( 116 × 216 ) / 4
LCM(116,216) = 25056 / 4
LCM(116,216) = 6264
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 548,766?
The HCF of 548,766 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 548/116, 766/216?
Answer: GCF of Numerators as per given numbers 548/116, 766/216 is
GCF of Numerators i.e. for 548,766 is 2
LCM of denominators i.e. for 116,216 is 6264.
Thus, GCF of Fractions is 2/6264.Finally, GCF of Fractions for 548/116, 766/216 is 2/6264.