Use our free GCF of Fractions Calculator tool to compute the GCF of 6469/752, 9054/4508 i.e 1/847504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6469/752, 9054/4508.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6469/752,9054/4508
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 6469/752,9054/4508, numerators are 6469,9054
Denominators are 752,4508
The GCF of 6469,9054 is 1 .
LCM of 752,4508 is 847504.
The greatest common factor of 6469/752,9054/4508 = [GCF of 6469,9054]/[LCM of 752,4508]= 1/847504
Therefore, the GCF of 6469/752,9054/4508 is 1/847504.
To find the highest common factor of 6469,9054, we have to find the factors of both numbers and list the highest common factor.
The factors of 6469 are 1, 6469
The factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054
The HCF of 6469,9054 is 1.
Lets's calculate GCF of 6469,9054
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6469
:1,6469
Now, list down the factors of 9054
:1,2,3,6,9,18,503,1006,1509,3018,4527,9054
Greatest Common Factor
We found the factors 6469,9054 . The biggest common factor number is the GCF number.
So the greatest common factor 6469,9054 is 1.
Lets's calculate LCM of 752,4508
2 | 752, 4508 |
2 | 376, 2254 |
188, 1127 |
∴ So the LCM of the given numbers is 2 x 2 x 188 x 1127 = 847504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/847504
Therefore, the GCF of Fractions 6469/752,9054/4508 is 1/847504
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 752,4508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,4508) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(752,4508) x common factors =4 x 1 = 4
LCM(752,4508) = ( 752 × 4508 ) / 4
LCM(752,4508) = 3390016 / 4
LCM(752,4508) = 847504
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6469,9054?
The HCF of 6469,9054 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 6469/752, 9054/4508?
Answer: GCF of Numerators as per given numbers 6469/752, 9054/4508 is
GCF of Numerators i.e. for 6469,9054 is 1
LCM of denominators i.e. for 752,4508 is 847504.
Thus, GCF of Fractions is 1/847504.Finally, GCF of Fractions for 6469/752, 9054/4508 is 1/847504.