Use our free GCF of Fractions Calculator tool to compute the GCF of 5534/713, 7255/5803 i.e 1/4137539 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5534/713, 7255/5803.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5534/713,7255/5803
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 5534/713,7255/5803, numerators are 5534,7255
Denominators are 713,5803
The GCF of 5534,7255 is 1 .
LCM of 713,5803 is 4137539.
The greatest common factor of 5534/713,7255/5803 = [GCF of 5534,7255]/[LCM of 713,5803]= 1/4137539
Therefore, the GCF of 5534/713,7255/5803 is 1/4137539.
To find the highest common factor of 5534,7255, we have to find the factors of both numbers and list the highest common factor.
The factors of 5534 are 1, 2, 2767, 5534
The factors of 7255 are 1, 5, 1451, 7255
The HCF of 5534,7255 is 1.
Lets's calculate GCF of 5534,7255
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5534
:1,2,2767,5534
Now, list down the factors of 7255
:1,5,1451,7255
Greatest Common Factor
We found the factors 5534,7255 . The biggest common factor number is the GCF number.
So the greatest common factor 5534,7255 is 1.
Lets's calculate LCM of 713,5803
Given numbers has no common factors except 1. So, there LCM is their product i.e 4137539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4137539
Therefore, the GCF of Fractions 5534/713,7255/5803 is 1/4137539
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 713,5803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,5803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,5803) x common factors =1 x 1 = 1
LCM(713,5803) = ( 713 × 5803 ) / 1
LCM(713,5803) = 4137539 / 1
LCM(713,5803) = 4137539
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5534,7255?
The HCF of 5534,7255 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 5534/713, 7255/5803?
Answer: GCF of Numerators as per given numbers 5534/713, 7255/5803 is
GCF of Numerators i.e. for 5534,7255 is 1
LCM of denominators i.e. for 713,5803 is 4137539.
Thus, GCF of Fractions is 1/4137539.Finally, GCF of Fractions for 5534/713, 7255/5803 is 1/4137539.