Use our free GCF of Fractions Calculator tool to compute the GCF of 5860/704, 7693/8303 i.e 1/5845312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5860/704, 7693/8303.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5860/704,7693/8303
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 5860/704,7693/8303, numerators are 5860,7693
Denominators are 704,8303
The GCF of 5860,7693 is 1 .
LCM of 704,8303 is 5845312.
The greatest common factor of 5860/704,7693/8303 = [GCF of 5860,7693]/[LCM of 704,8303]= 1/5845312
Therefore, the GCF of 5860/704,7693/8303 is 1/5845312.
To find the highest common factor of 5860,7693, we have to find the factors of both numbers and list the highest common factor.
The factors of 5860 are 1, 2, 4, 5, 10, 20, 293, 586, 1172, 1465, 2930, 5860
The factors of 7693 are 1, 7, 49, 157, 1099, 7693
The HCF of 5860,7693 is 1.
Lets's calculate GCF of 5860,7693
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5860
:1,2,4,5,10,20,293,586,1172,1465,2930,5860
Now, list down the factors of 7693
:1,7,49,157,1099,7693
Greatest Common Factor
We found the factors 5860,7693 . The biggest common factor number is the GCF number.
So the greatest common factor 5860,7693 is 1.
Lets's calculate LCM of 704,8303
Given numbers has no common factors except 1. So, there LCM is their product i.e 5845312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5845312
Therefore, the GCF of Fractions 5860/704,7693/8303 is 1/5845312
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 704,8303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,8303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,8303) x common factors =1 x 1 = 1
LCM(704,8303) = ( 704 × 8303 ) / 1
LCM(704,8303) = 5845312 / 1
LCM(704,8303) = 5845312
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5860,7693?
The HCF of 5860,7693 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 5860/704, 7693/8303?
Answer: GCF of Numerators as per given numbers 5860/704, 7693/8303 is
GCF of Numerators i.e. for 5860,7693 is 1
LCM of denominators i.e. for 704,8303 is 5845312.
Thus, GCF of Fractions is 1/5845312.Finally, GCF of Fractions for 5860/704, 7693/8303 is 1/5845312.