Use our free GCF of Fractions Calculator tool to compute the GCF of 2601/120, 6535/3152 i.e 1/47280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2601/120, 6535/3152.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2601/120,6535/3152
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 2601/120,6535/3152, numerators are 2601,6535
Denominators are 120,3152
The GCF of 2601,6535 is 1 .
LCM of 120,3152 is 47280.
The greatest common factor of 2601/120,6535/3152 = [GCF of 2601,6535]/[LCM of 120,3152]= 1/47280
Therefore, the GCF of 2601/120,6535/3152 is 1/47280.
To find the highest common factor of 2601,6535, we have to find the factors of both numbers and list the highest common factor.
The factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601
The factors of 6535 are 1, 5, 1307, 6535
The HCF of 2601,6535 is 1.
Lets's calculate GCF of 2601,6535
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2601
:1,3,9,17,51,153,289,867,2601
Now, list down the factors of 6535
:1,5,1307,6535
Greatest Common Factor
We found the factors 2601,6535 . The biggest common factor number is the GCF number.
So the greatest common factor 2601,6535 is 1.
Lets's calculate LCM of 120,3152
2 | 120, 3152 |
2 | 60, 1576 |
2 | 30, 788 |
15, 394 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 15 x 394 = 47280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47280
Therefore, the GCF of Fractions 2601/120,6535/3152 is 1/47280
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 120,3152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,3152) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(120,3152) x common factors =8 x 1 = 8
LCM(120,3152) = ( 120 × 3152 ) / 8
LCM(120,3152) = 378240 / 8
LCM(120,3152) = 47280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2601,6535?
The HCF of 2601,6535 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 2601/120, 6535/3152?
Answer: GCF of Numerators as per given numbers 2601/120, 6535/3152 is
GCF of Numerators i.e. for 2601,6535 is 1
LCM of denominators i.e. for 120,3152 is 47280.
Thus, GCF of Fractions is 1/47280.Finally, GCF of Fractions for 2601/120, 6535/3152 is 1/47280.