Use our free GCF of Fractions Calculator tool to compute the GCF of 3943/694, 5353/7578 i.e 1/2629566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3943/694, 5353/7578.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3943/694,5353/7578
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 3943/694,5353/7578, numerators are 3943,5353
Denominators are 694,7578
The GCF of 3943,5353 is 1 .
LCM of 694,7578 is 2629566.
The greatest common factor of 3943/694,5353/7578 = [GCF of 3943,5353]/[LCM of 694,7578]= 1/2629566
Therefore, the GCF of 3943/694,5353/7578 is 1/2629566.
To find the highest common factor of 3943,5353, we have to find the factors of both numbers and list the highest common factor.
The factors of 3943 are 1, 3943
The factors of 5353 are 1, 53, 101, 5353
The HCF of 3943,5353 is 1.
Lets's calculate GCF of 3943,5353
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3943
:1,3943
Now, list down the factors of 5353
:1,53,101,5353
Greatest Common Factor
We found the factors 3943,5353 . The biggest common factor number is the GCF number.
So the greatest common factor 3943,5353 is 1.
Lets's calculate LCM of 694,7578
2 | 694, 7578 |
347, 3789 |
∴ So the LCM of the given numbers is 2 x 347 x 3789 = 2629566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2629566
Therefore, the GCF of Fractions 3943/694,5353/7578 is 1/2629566
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 694,7578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,7578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,7578) x common factors =2 x 1 = 2
LCM(694,7578) = ( 694 × 7578 ) / 2
LCM(694,7578) = 5259132 / 2
LCM(694,7578) = 2629566
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3943,5353?
The HCF of 3943,5353 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 3943/694, 5353/7578?
Answer: GCF of Numerators as per given numbers 3943/694, 5353/7578 is
GCF of Numerators i.e. for 3943,5353 is 1
LCM of denominators i.e. for 694,7578 is 2629566.
Thus, GCF of Fractions is 1/2629566.Finally, GCF of Fractions for 3943/694, 5353/7578 is 1/2629566.