Use our free GCF of Fractions Calculator tool to compute the GCF of 496/297, 883/624 i.e 1/61776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 496/297, 883/624.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 496/297,883/624
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 496/297,883/624, numerators are 496,883
Denominators are 297,624
The GCF of 496,883 is 1 .
LCM of 297,624 is 61776.
The greatest common factor of 496/297,883/624 = [GCF of 496,883]/[LCM of 297,624]= 1/61776
Therefore, the GCF of 496/297,883/624 is 1/61776.
To find the highest common factor of 496,883, we have to find the factors of both numbers and list the highest common factor.
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The factors of 883 are 1, 883
The HCF of 496,883 is 1.
Lets's calculate GCF of 496,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Now, list down the factors of 883
:1,883
Greatest Common Factor
We found the factors 496,883 . The biggest common factor number is the GCF number.
So the greatest common factor 496,883 is 1.
Lets's calculate LCM of 297,624
3 | 297, 624 |
99, 208 |
∴ So the LCM of the given numbers is 3 x 99 x 208 = 61776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61776
Therefore, the GCF of Fractions 496/297,883/624 is 1/61776
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 297,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,624) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(297,624) x common factors =3 x 1 = 3
LCM(297,624) = ( 297 × 624 ) / 3
LCM(297,624) = 185328 / 3
LCM(297,624) = 61776
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 496,883?
The HCF of 496,883 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 496/297, 883/624?
Answer: GCF of Numerators as per given numbers 496/297, 883/624 is
GCF of Numerators i.e. for 496,883 is 1
LCM of denominators i.e. for 297,624 is 61776.
Thus, GCF of Fractions is 1/61776.Finally, GCF of Fractions for 496/297, 883/624 is 1/61776.