Use our free GCF of Fractions Calculator tool to compute the GCF of 275/91, 715/448 i.e 55/5824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/91, 715/448.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 275/91,715/448
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 275/91,715/448, numerators are 275,715
Denominators are 91,448
The GCF of 275,715 is 55 .
LCM of 91,448 is 5824.
The greatest common factor of 275/91,715/448 = [GCF of 275,715]/[LCM of 91,448]= 55/5824
Therefore, the GCF of 275/91,715/448 is 55/5824.
To find the highest common factor of 275,715, we have to find the factors of both numbers and list the highest common factor.
The factors of 275 are 1, 5, 11, 25, 55, 275
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The HCF of 275,715 is 55.
Lets's calculate GCF of 275,715
5 | 275, 715 |
11 | 55, 143 |
5, 13 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Now, list down the factors of 275
:1,5,11,25,55,275
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 275,715 . The biggest common factor number is the GCF number.
So the greatest common factor 275,715 is 55.
Lets's calculate LCM of 91,448
7 | 91, 448 |
13, 64 |
∴ So the LCM of the given numbers is 7 x 13 x 64 = 5824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/5824
Therefore, the GCF of Fractions 275/91,715/448 is 55/5824
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 91,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,448) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(91,448) x common factors =7 x 1 = 7
LCM(91,448) = ( 91 × 448 ) / 7
LCM(91,448) = 40768 / 7
LCM(91,448) = 5824
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 275,715?
The HCF of 275,715 is 55
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 275/91, 715/448?
Answer: GCF of Numerators as per given numbers 275/91, 715/448 is
GCF of Numerators i.e. for 275,715 is 55
LCM of denominators i.e. for 91,448 is 5824.
Thus, GCF of Fractions is 55/5824.Finally, GCF of Fractions for 275/91, 715/448 is 55/5824.