Use our free GCF of Fractions Calculator tool to compute the GCF of 65/377, 49/260 i.e 1/7540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/377, 49/260.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/377,49/260
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 65/377,49/260, numerators are 65,49
Denominators are 377,260
The GCF of 65,49 is 1 .
LCM of 377,260 is 7540.
The greatest common factor of 65/377,49/260 = [GCF of 65,49]/[LCM of 377,260]= 1/7540
Therefore, the GCF of 65/377,49/260 is 1/7540.
To find the highest common factor of 65,49, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 49 are 1, 7, 49
The HCF of 65,49 is 1.
Lets's calculate GCF of 65,49
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 377,260
13 | 377, 260 |
29, 20 |
∴ So the LCM of the given numbers is 13 x 29 x 20 = 7540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7540
Therefore, the GCF of Fractions 65/377,49/260 is 1/7540
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 377,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,260) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(377,260) x common factors =13 x 1 = 13
LCM(377,260) = ( 377 × 260 ) / 13
LCM(377,260) = 98020 / 13
LCM(377,260) = 7540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,49?
The HCF of 65,49 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 65/377, 49/260?
Answer: GCF of Numerators as per given numbers 65/377, 49/260 is
GCF of Numerators i.e. for 65,49 is 1
LCM of denominators i.e. for 377,260 is 7540.
Thus, GCF of Fractions is 1/7540.Finally, GCF of Fractions for 65/377, 49/260 is 1/7540.