Use our free GCF of Fractions Calculator tool to compute the GCF of 559/257, 754/715 i.e 13/183755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 559/257, 754/715.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 559/257,754/715
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 559/257,754/715, numerators are 559,754
Denominators are 257,715
The GCF of 559,754 is 13 .
LCM of 257,715 is 183755.
The greatest common factor of 559/257,754/715 = [GCF of 559,754]/[LCM of 257,715]= 13/183755
Therefore, the GCF of 559/257,754/715 is 13/183755.
To find the highest common factor of 559,754, we have to find the factors of both numbers and list the highest common factor.
The factors of 559 are 1, 13, 43, 559
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The HCF of 559,754 is 13.
Lets's calculate GCF of 559,754
13 | 559, 754 |
43, 58 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 559
:1,13,43,559
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 559,754 . The biggest common factor number is the GCF number.
So the greatest common factor 559,754 is 13.
Lets's calculate LCM of 257,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 183755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/183755
Therefore, the GCF of Fractions 559/257,754/715 is 13/183755
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 257,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,715) x common factors =1 x 1 = 1
LCM(257,715) = ( 257 × 715 ) / 1
LCM(257,715) = 183755 / 1
LCM(257,715) = 183755
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 559,754?
The HCF of 559,754 is 13
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 559/257, 754/715?
Answer: GCF of Numerators as per given numbers 559/257, 754/715 is
GCF of Numerators i.e. for 559,754 is 13
LCM of denominators i.e. for 257,715 is 183755.
Thus, GCF of Fractions is 13/183755.Finally, GCF of Fractions for 559/257, 754/715 is 13/183755.