GCF of 248/397, 713/277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 248/397, 713/277 i.e 31/109969 easily. The following is the detailed procedure to determine the greatest common factor of fractions 248/397, 713/277.
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 248/397,713/277?
Given fractions are 248/397,713/277
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 248/397,713/277, numerators are 248,713
Denominators are 397,277
The GCF of 248,713 is 31 .
LCM of 397,277 is 109969.
The greatest common factor of 248/397,713/277 = [GCF of 248,713]/[LCM of 397,277]= 31/109969
Therefore, the GCF of 248/397,713/277 is 31/109969.
To find the highest common factor of 248,713, 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 713 are 1, 23, 31, 713
The HCF of 248,713 is 31.
Lets's calculate GCF of 248,713
| 31 | 248, 713 |
| 8, 23 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 248,713 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 713
:1,23,31,713
Greatest Common Factor
We found the factors 248,713 . The biggest common factor number is the GCF number.
So the greatest common factor 248,713 is 31.
Lets's calculate LCM of 397,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 109969
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/109969
Therefore, the GCF of Fractions 248/397,713/277 is 31/109969
Least Common Multiple of 397,277 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 397,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,277) x common factors =1 x 1 = 1
LCM(397,277) = ( 397 × 277 ) / 1
LCM(397,277) = 109969 / 1
LCM(397,277) = 109969
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 248/397, 713/277
1. What is the HCF of 248,713?
The HCF of 248,713 is 31
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 248/397, 713/277?
Answer: GCF of Numerators as per given numbers 248/397, 713/277 is
GCF of Numerators i.e. for 248,713 is 31
LCM of denominators i.e. for 397,277 is 109969.
Thus, GCF of Fractions is 31/109969.Finally, GCF of Fractions for 248/397, 713/277 is 31/109969.