Use our free GCF of Fractions Calculator tool to compute the GCF of 649/465, 458/350 i.e 1/32550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 649/465, 458/350.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 649/465,458/350
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 649/465,458/350, numerators are 649,458
Denominators are 465,350
The GCF of 649,458 is 1 .
LCM of 465,350 is 32550.
The greatest common factor of 649/465,458/350 = [GCF of 649,458]/[LCM of 465,350]= 1/32550
Therefore, the GCF of 649/465,458/350 is 1/32550.
To find the highest common factor of 649,458, we have to find the factors of both numbers and list the highest common factor.
The factors of 649 are 1, 11, 59, 649
The factors of 458 are 1, 2, 229, 458
The HCF of 649,458 is 1.
Lets's calculate GCF of 649,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 649
:1,11,59,649
Now, list down the factors of 458
:1,2,229,458
Greatest Common Factor
We found the factors 649,458 . The biggest common factor number is the GCF number.
So the greatest common factor 649,458 is 1.
Lets's calculate LCM of 465,350
5 | 465, 350 |
93, 70 |
∴ So the LCM of the given numbers is 5 x 93 x 70 = 32550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32550
Therefore, the GCF of Fractions 649/465,458/350 is 1/32550
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 465,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,350) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(465,350) x common factors =5 x 1 = 5
LCM(465,350) = ( 465 × 350 ) / 5
LCM(465,350) = 162750 / 5
LCM(465,350) = 32550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 649,458?
The HCF of 649,458 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 649/465, 458/350?
Answer: GCF of Numerators as per given numbers 649/465, 458/350 is
GCF of Numerators i.e. for 649,458 is 1
LCM of denominators i.e. for 465,350 is 32550.
Thus, GCF of Fractions is 1/32550.Finally, GCF of Fractions for 649/465, 458/350 is 1/32550.