Use our free GCF of Fractions Calculator tool to compute the GCF of 799/683, 732/257 i.e 1/175531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/683, 732/257.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 799/683,732/257
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 799/683,732/257, numerators are 799,732
Denominators are 683,257
The GCF of 799,732 is 1 .
LCM of 683,257 is 175531.
The greatest common factor of 799/683,732/257 = [GCF of 799,732]/[LCM of 683,257]= 1/175531
Therefore, the GCF of 799/683,732/257 is 1/175531.
To find the highest common factor of 799,732, we have to find the factors of both numbers and list the highest common factor.
The factors of 799 are 1, 17, 47, 799
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The HCF of 799,732 is 1.
Lets's calculate GCF of 799,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 799
:1,17,47,799
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 799,732 . The biggest common factor number is the GCF number.
So the greatest common factor 799,732 is 1.
Lets's calculate LCM of 683,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 175531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175531
Therefore, the GCF of Fractions 799/683,732/257 is 1/175531
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 683,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,257) x common factors =1 x 1 = 1
LCM(683,257) = ( 683 × 257 ) / 1
LCM(683,257) = 175531 / 1
LCM(683,257) = 175531
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 799,732?
The HCF of 799,732 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 799/683, 732/257?
Answer: GCF of Numerators as per given numbers 799/683, 732/257 is
GCF of Numerators i.e. for 799,732 is 1
LCM of denominators i.e. for 683,257 is 175531.
Thus, GCF of Fractions is 1/175531.Finally, GCF of Fractions for 799/683, 732/257 is 1/175531.