Use our free GCF of Fractions Calculator tool to compute the GCF of 2665/763, 3566/9393 i.e 1/7166859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2665/763, 3566/9393.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2665/763,3566/9393
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 2665/763,3566/9393, numerators are 2665,3566
Denominators are 763,9393
The GCF of 2665,3566 is 1 .
LCM of 763,9393 is 7166859.
The greatest common factor of 2665/763,3566/9393 = [GCF of 2665,3566]/[LCM of 763,9393]= 1/7166859
Therefore, the GCF of 2665/763,3566/9393 is 1/7166859.
To find the highest common factor of 2665,3566, we have to find the factors of both numbers and list the highest common factor.
The factors of 2665 are 1, 5, 13, 41, 65, 205, 533, 2665
The factors of 3566 are 1, 2, 1783, 3566
The HCF of 2665,3566 is 1.
Lets's calculate GCF of 2665,3566
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2665
:1,5,13,41,65,205,533,2665
Now, list down the factors of 3566
:1,2,1783,3566
Greatest Common Factor
We found the factors 2665,3566 . The biggest common factor number is the GCF number.
So the greatest common factor 2665,3566 is 1.
Lets's calculate LCM of 763,9393
Given numbers has no common factors except 1. So, there LCM is their product i.e 7166859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7166859
Therefore, the GCF of Fractions 2665/763,3566/9393 is 1/7166859
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 763,9393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,9393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,9393) x common factors =1 x 1 = 1
LCM(763,9393) = ( 763 × 9393 ) / 1
LCM(763,9393) = 7166859 / 1
LCM(763,9393) = 7166859
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2665,3566?
The HCF of 2665,3566 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 2665/763, 3566/9393?
Answer: GCF of Numerators as per given numbers 2665/763, 3566/9393 is
GCF of Numerators i.e. for 2665,3566 is 1
LCM of denominators i.e. for 763,9393 is 7166859.
Thus, GCF of Fractions is 1/7166859.Finally, GCF of Fractions for 2665/763, 3566/9393 is 1/7166859.