Use our free GCF of Fractions Calculator tool to compute the GCF of 499/443, 786/149 i.e 1/66007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/443, 786/149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 499/443,786/149
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 499/443,786/149, numerators are 499,786
Denominators are 443,149
The GCF of 499,786 is 1 .
LCM of 443,149 is 66007.
The greatest common factor of 499/443,786/149 = [GCF of 499,786]/[LCM of 443,149]= 1/66007
Therefore, the GCF of 499/443,786/149 is 1/66007.
To find the highest common factor of 499,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 499 are 1, 499
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 499,786 is 1.
Lets's calculate GCF of 499,786
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 499
:1,499
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 499,786 . The biggest common factor number is the GCF number.
So the greatest common factor 499,786 is 1.
Lets's calculate LCM of 443,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 66007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66007
Therefore, the GCF of Fractions 499/443,786/149 is 1/66007
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 443,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,149) x common factors =1 x 1 = 1
LCM(443,149) = ( 443 × 149 ) / 1
LCM(443,149) = 66007 / 1
LCM(443,149) = 66007
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 499,786?
The HCF of 499,786 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 499/443, 786/149?
Answer: GCF of Numerators as per given numbers 499/443, 786/149 is
GCF of Numerators i.e. for 499,786 is 1
LCM of denominators i.e. for 443,149 is 66007.
Thus, GCF of Fractions is 1/66007.Finally, GCF of Fractions for 499/443, 786/149 is 1/66007.