Use our free GCF of Fractions Calculator tool to compute the GCF of 497/746, 979/716 i.e 1/267068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 497/746, 979/716.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 497/746,979/716
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 497/746,979/716, numerators are 497,979
Denominators are 746,716
The GCF of 497,979 is 1 .
LCM of 746,716 is 267068.
The greatest common factor of 497/746,979/716 = [GCF of 497,979]/[LCM of 746,716]= 1/267068
Therefore, the GCF of 497/746,979/716 is 1/267068.
To find the highest common factor of 497,979, we have to find the factors of both numbers and list the highest common factor.
The factors of 497 are 1, 7, 71, 497
The factors of 979 are 1, 11, 89, 979
The HCF of 497,979 is 1.
Lets's calculate GCF of 497,979
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 497
:1,7,71,497
Now, list down the factors of 979
:1,11,89,979
Greatest Common Factor
We found the factors 497,979 . The biggest common factor number is the GCF number.
So the greatest common factor 497,979 is 1.
Lets's calculate LCM of 746,716
2 | 746, 716 |
373, 358 |
∴ So the LCM of the given numbers is 2 x 373 x 358 = 267068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267068
Therefore, the GCF of Fractions 497/746,979/716 is 1/267068
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 746,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,716) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,716) x common factors =2 x 1 = 2
LCM(746,716) = ( 746 × 716 ) / 2
LCM(746,716) = 534136 / 2
LCM(746,716) = 267068
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 497,979?
The HCF of 497,979 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 497/746, 979/716?
Answer: GCF of Numerators as per given numbers 497/746, 979/716 is
GCF of Numerators i.e. for 497,979 is 1
LCM of denominators i.e. for 746,716 is 267068.
Thus, GCF of Fractions is 1/267068.Finally, GCF of Fractions for 497/746, 979/716 is 1/267068.