Use our free GCF of Fractions Calculator tool to compute the GCF of 751/217, 663/649 i.e 1/140833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/217, 663/649.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/217,663/649
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 751/217,663/649, numerators are 751,663
Denominators are 217,649
The GCF of 751,663 is 1 .
LCM of 217,649 is 140833.
The greatest common factor of 751/217,663/649 = [GCF of 751,663]/[LCM of 217,649]= 1/140833
Therefore, the GCF of 751/217,663/649 is 1/140833.
To find the highest common factor of 751,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 751 are 1, 751
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 751,663 is 1.
Lets's calculate GCF of 751,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 751
:1,751
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 751,663 . The biggest common factor number is the GCF number.
So the greatest common factor 751,663 is 1.
Lets's calculate LCM of 217,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 140833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140833
Therefore, the GCF of Fractions 751/217,663/649 is 1/140833
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 217,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,649) x common factors =1 x 1 = 1
LCM(217,649) = ( 217 × 649 ) / 1
LCM(217,649) = 140833 / 1
LCM(217,649) = 140833
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 751,663?
The HCF of 751,663 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 751/217, 663/649?
Answer: GCF of Numerators as per given numbers 751/217, 663/649 is
GCF of Numerators i.e. for 751,663 is 1
LCM of denominators i.e. for 217,649 is 140833.
Thus, GCF of Fractions is 1/140833.Finally, GCF of Fractions for 751/217, 663/649 is 1/140833.