GCF of 248/559, 935/260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 248/559, 935/260 i.e 1/11180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 248/559, 935/260.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 248/559,935/260?
Given fractions are 248/559,935/260
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 248/559,935/260, numerators are 248,935
Denominators are 559,260
The GCF of 248,935 is 1 .
LCM of 559,260 is 11180.
The greatest common factor of 248/559,935/260 = [GCF of 248,935]/[LCM of 559,260]= 1/11180
Therefore, the GCF of 248/559,935/260 is 1/11180.
To find the highest common factor of 248,935, we have to find the factors of both numbers and list the highest common factor.
The factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The HCF of 248,935 is 1.
Lets's calculate GCF of 248,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 248,935 By Matching Biggest Common Factor Method
Now, list down the factors of 248
:1,2,4,8,31,62,124,248
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 248,935 . The biggest common factor number is the GCF number.
So the greatest common factor 248,935 is 1.
Lets's calculate LCM of 559,260
| 13 | 559, 260 |
| 43, 20 |
∴ So the LCM of the given numbers is 13 x 43 x 20 = 11180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11180
Therefore, the GCF of Fractions 248/559,935/260 is 1/11180
Least Common Multiple of 559,260 with GCF Formula
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 559,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,260) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(559,260) x common factors =13 x 1 = 13
LCM(559,260) = ( 559 × 260 ) / 13
LCM(559,260) = 145340 / 13
LCM(559,260) = 11180
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 248/559, 935/260
1. What is the HCF of 248,935?
The HCF of 248,935 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 248/559, 935/260?
Answer: GCF of Numerators as per given numbers 248/559, 935/260 is
GCF of Numerators i.e. for 248,935 is 1
LCM of denominators i.e. for 559,260 is 11180.
Thus, GCF of Fractions is 1/11180.Finally, GCF of Fractions for 248/559, 935/260 is 1/11180.