Use our free GCF of Fractions Calculator tool to compute the GCF of 766/743, 754/298 i.e 2/221414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/743, 754/298.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 766/743,754/298
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 766/743,754/298, numerators are 766,754
Denominators are 743,298
The GCF of 766,754 is 2 .
LCM of 743,298 is 221414.
The greatest common factor of 766/743,754/298 = [GCF of 766,754]/[LCM of 743,298]= 2/221414
Therefore, the GCF of 766/743,754/298 is 2/221414.
To find the highest common factor of 766,754, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The HCF of 766,754 is 2.
Lets's calculate GCF of 766,754
2 | 766, 754 |
383, 377 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 766,754 . The biggest common factor number is the GCF number.
So the greatest common factor 766,754 is 2.
Lets's calculate LCM of 743,298
Given numbers has no common factors except 1. So, there LCM is their product i.e 221414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/221414
Therefore, the GCF of Fractions 766/743,754/298 is 2/221414
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 743,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,298) x common factors =1 x 1 = 1
LCM(743,298) = ( 743 × 298 ) / 1
LCM(743,298) = 221414 / 1
LCM(743,298) = 221414
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 766,754?
The HCF of 766,754 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 766/743, 754/298?
Answer: GCF of Numerators as per given numbers 766/743, 754/298 is
GCF of Numerators i.e. for 766,754 is 2
LCM of denominators i.e. for 743,298 is 221414.
Thus, GCF of Fractions is 2/221414.Finally, GCF of Fractions for 766/743, 754/298 is 2/221414.