Use our free GCF of Fractions Calculator tool to compute the GCF of 554/763, 275/296 i.e 1/225848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/763, 275/296.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/763,275/296
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 554/763,275/296, numerators are 554,275
Denominators are 763,296
The GCF of 554,275 is 1 .
LCM of 763,296 is 225848.
The greatest common factor of 554/763,275/296 = [GCF of 554,275]/[LCM of 763,296]= 1/225848
Therefore, the GCF of 554/763,275/296 is 1/225848.
To find the highest common factor of 554,275, we have to find the factors of both numbers and list the highest common factor.
The factors of 554 are 1, 2, 277, 554
The factors of 275 are 1, 5, 11, 25, 55, 275
The HCF of 554,275 is 1.
Lets's calculate GCF of 554,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 554
:1,2,277,554
Now, list down the factors of 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 554,275 . The biggest common factor number is the GCF number.
So the greatest common factor 554,275 is 1.
Lets's calculate LCM of 763,296
Given numbers has no common factors except 1. So, there LCM is their product i.e 225848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225848
Therefore, the GCF of Fractions 554/763,275/296 is 1/225848
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 763,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,296) x common factors =1 x 1 = 1
LCM(763,296) = ( 763 × 296 ) / 1
LCM(763,296) = 225848 / 1
LCM(763,296) = 225848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 554,275?
The HCF of 554,275 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 554/763, 275/296?
Answer: GCF of Numerators as per given numbers 554/763, 275/296 is
GCF of Numerators i.e. for 554,275 is 1
LCM of denominators i.e. for 763,296 is 225848.
Thus, GCF of Fractions is 1/225848.Finally, GCF of Fractions for 554/763, 275/296 is 1/225848.