Use our free GCF of Fractions Calculator tool to compute the GCF of 791/968, 3546/6755 i.e 1/6538840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/968, 3546/6755.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/968,3546/6755
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 791/968,3546/6755, numerators are 791,3546
Denominators are 968,6755
The GCF of 791,3546 is 1 .
LCM of 968,6755 is 6538840.
The greatest common factor of 791/968,3546/6755 = [GCF of 791,3546]/[LCM of 968,6755]= 1/6538840
Therefore, the GCF of 791/968,3546/6755 is 1/6538840.
To find the highest common factor of 791,3546, we have to find the factors of both numbers and list the highest common factor.
The factors of 791 are 1, 7, 113, 791
The factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546
The HCF of 791,3546 is 1.
Lets's calculate GCF of 791,3546
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 3546
:1,2,3,6,9,18,197,394,591,1182,1773,3546
Greatest Common Factor
We found the factors 791,3546 . The biggest common factor number is the GCF number.
So the greatest common factor 791,3546 is 1.
Lets's calculate LCM of 968,6755
Given numbers has no common factors except 1. So, there LCM is their product i.e 6538840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6538840
Therefore, the GCF of Fractions 791/968,3546/6755 is 1/6538840
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 968,6755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,6755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,6755) x common factors =1 x 1 = 1
LCM(968,6755) = ( 968 × 6755 ) / 1
LCM(968,6755) = 6538840 / 1
LCM(968,6755) = 6538840
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 791,3546?
The HCF of 791,3546 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 791/968, 3546/6755?
Answer: GCF of Numerators as per given numbers 791/968, 3546/6755 is
GCF of Numerators i.e. for 791,3546 is 1
LCM of denominators i.e. for 968,6755 is 6538840.
Thus, GCF of Fractions is 1/6538840.Finally, GCF of Fractions for 791/968, 3546/6755 is 1/6538840.