Use our free GCF of Fractions Calculator tool to compute the GCF of 6758/297, 3957/1590 i.e 1/157410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6758/297, 3957/1590.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6758/297,3957/1590
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 6758/297,3957/1590, numerators are 6758,3957
Denominators are 297,1590
The GCF of 6758,3957 is 1 .
LCM of 297,1590 is 157410.
The greatest common factor of 6758/297,3957/1590 = [GCF of 6758,3957]/[LCM of 297,1590]= 1/157410
Therefore, the GCF of 6758/297,3957/1590 is 1/157410.
To find the highest common factor of 6758,3957, we have to find the factors of both numbers and list the highest common factor.
The factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758
The factors of 3957 are 1, 3, 1319, 3957
The HCF of 6758,3957 is 1.
Lets's calculate GCF of 6758,3957
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6758
:1,2,31,62,109,218,3379,6758
Now, list down the factors of 3957
:1,3,1319,3957
Greatest Common Factor
We found the factors 6758,3957 . The biggest common factor number is the GCF number.
So the greatest common factor 6758,3957 is 1.
Lets's calculate LCM of 297,1590
3 | 297, 1590 |
99, 530 |
∴ So the LCM of the given numbers is 3 x 99 x 530 = 157410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157410
Therefore, the GCF of Fractions 6758/297,3957/1590 is 1/157410
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 297,1590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,1590) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(297,1590) x common factors =3 x 1 = 3
LCM(297,1590) = ( 297 × 1590 ) / 3
LCM(297,1590) = 472230 / 3
LCM(297,1590) = 157410
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6758,3957?
The HCF of 6758,3957 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 6758/297, 3957/1590?
Answer: GCF of Numerators as per given numbers 6758/297, 3957/1590 is
GCF of Numerators i.e. for 6758,3957 is 1
LCM of denominators i.e. for 297,1590 is 157410.
Thus, GCF of Fractions is 1/157410.Finally, GCF of Fractions for 6758/297, 3957/1590 is 1/157410.