Use our free GCF of Fractions Calculator tool to compute the GCF of 6549/975, 1851/7095 i.e 3/461175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6549/975, 1851/7095.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6549/975,1851/7095
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 6549/975,1851/7095, numerators are 6549,1851
Denominators are 975,7095
The GCF of 6549,1851 is 3 .
LCM of 975,7095 is 461175.
The greatest common factor of 6549/975,1851/7095 = [GCF of 6549,1851]/[LCM of 975,7095]= 3/461175
Therefore, the GCF of 6549/975,1851/7095 is 3/461175.
To find the highest common factor of 6549,1851, we have to find the factors of both numbers and list the highest common factor.
The factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549
The factors of 1851 are 1, 3, 617, 1851
The HCF of 6549,1851 is 3.
Lets's calculate GCF of 6549,1851
3 | 6549, 1851 |
2183, 617 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 6549
:1,3,37,59,111,177,2183,6549
Now, list down the factors of 1851
:1,3,617,1851
Greatest Common Factor
We found the factors 6549,1851 . The biggest common factor number is the GCF number.
So the greatest common factor 6549,1851 is 3.
Lets's calculate LCM of 975,7095
3 | 975, 7095 |
5 | 325, 2365 |
65, 473 |
∴ So the LCM of the given numbers is 3 x 5 x 65 x 473 = 461175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/461175
Therefore, the GCF of Fractions 6549/975,1851/7095 is 3/461175
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 975,7095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,7095) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(975,7095) x common factors =15 x 1 = 15
LCM(975,7095) = ( 975 × 7095 ) / 15
LCM(975,7095) = 6917625 / 15
LCM(975,7095) = 461175
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6549,1851?
The HCF of 6549,1851 is 3
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 6549/975, 1851/7095?
Answer: GCF of Numerators as per given numbers 6549/975, 1851/7095 is
GCF of Numerators i.e. for 6549,1851 is 3
LCM of denominators i.e. for 975,7095 is 461175.
Thus, GCF of Fractions is 3/461175.Finally, GCF of Fractions for 6549/975, 1851/7095 is 3/461175.