Use our free GCF of Fractions Calculator tool to compute the GCF of 7647/747, 4010/1358 i.e 1/1014426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7647/747, 4010/1358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7647/747,4010/1358
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 7647/747,4010/1358, numerators are 7647,4010
Denominators are 747,1358
The GCF of 7647,4010 is 1 .
LCM of 747,1358 is 1014426.
The greatest common factor of 7647/747,4010/1358 = [GCF of 7647,4010]/[LCM of 747,1358]= 1/1014426
Therefore, the GCF of 7647/747,4010/1358 is 1/1014426.
To find the highest common factor of 7647,4010, we have to find the factors of both numbers and list the highest common factor.
The factors of 7647 are 1, 3, 2549, 7647
The factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010
The HCF of 7647,4010 is 1.
Lets's calculate GCF of 7647,4010
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7647
:1,3,2549,7647
Now, list down the factors of 4010
:1,2,5,10,401,802,2005,4010
Greatest Common Factor
We found the factors 7647,4010 . The biggest common factor number is the GCF number.
So the greatest common factor 7647,4010 is 1.
Lets's calculate LCM of 747,1358
Given numbers has no common factors except 1. So, there LCM is their product i.e 1014426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1014426
Therefore, the GCF of Fractions 7647/747,4010/1358 is 1/1014426
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 747,1358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,1358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,1358) x common factors =1 x 1 = 1
LCM(747,1358) = ( 747 × 1358 ) / 1
LCM(747,1358) = 1014426 / 1
LCM(747,1358) = 1014426
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7647,4010?
The HCF of 7647,4010 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 7647/747, 4010/1358?
Answer: GCF of Numerators as per given numbers 7647/747, 4010/1358 is
GCF of Numerators i.e. for 7647,4010 is 1
LCM of denominators i.e. for 747,1358 is 1014426.
Thus, GCF of Fractions is 1/1014426.Finally, GCF of Fractions for 7647/747, 4010/1358 is 1/1014426.