Use our free GCF of Fractions Calculator tool to compute the GCF of 6756/574, 6499/270 i.e 1/77490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6756/574, 6499/270.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6756/574,6499/270
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 6756/574,6499/270, numerators are 6756,6499
Denominators are 574,270
The GCF of 6756,6499 is 1 .
LCM of 574,270 is 77490.
The greatest common factor of 6756/574,6499/270 = [GCF of 6756,6499]/[LCM of 574,270]= 1/77490
Therefore, the GCF of 6756/574,6499/270 is 1/77490.
To find the highest common factor of 6756,6499, we have to find the factors of both numbers and list the highest common factor.
The factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756
The factors of 6499 are 1, 67, 97, 6499
The HCF of 6756,6499 is 1.
Lets's calculate GCF of 6756,6499
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6756
:1,2,3,4,6,12,563,1126,1689,2252,3378,6756
Now, list down the factors of 6499
:1,67,97,6499
Greatest Common Factor
We found the factors 6756,6499 . The biggest common factor number is the GCF number.
So the greatest common factor 6756,6499 is 1.
Lets's calculate LCM of 574,270
2 | 574, 270 |
287, 135 |
∴ So the LCM of the given numbers is 2 x 287 x 135 = 77490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77490
Therefore, the GCF of Fractions 6756/574,6499/270 is 1/77490
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 574,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,270) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,270) x common factors =2 x 1 = 2
LCM(574,270) = ( 574 × 270 ) / 2
LCM(574,270) = 154980 / 2
LCM(574,270) = 77490
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6756,6499?
The HCF of 6756,6499 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 6756/574, 6499/270?
Answer: GCF of Numerators as per given numbers 6756/574, 6499/270 is
GCF of Numerators i.e. for 6756,6499 is 1
LCM of denominators i.e. for 574,270 is 77490.
Thus, GCF of Fractions is 1/77490.Finally, GCF of Fractions for 6756/574, 6499/270 is 1/77490.