Use our free GCF of Fractions Calculator tool to compute the GCF of 8627/649, 9678/2463 i.e 1/1598487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8627/649, 9678/2463.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8627/649,9678/2463
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 8627/649,9678/2463, numerators are 8627,9678
Denominators are 649,2463
The GCF of 8627,9678 is 1 .
LCM of 649,2463 is 1598487.
The greatest common factor of 8627/649,9678/2463 = [GCF of 8627,9678]/[LCM of 649,2463]= 1/1598487
Therefore, the GCF of 8627/649,9678/2463 is 1/1598487.
To find the highest common factor of 8627,9678, we have to find the factors of both numbers and list the highest common factor.
The factors of 8627 are 1, 8627
The factors of 9678 are 1, 2, 3, 6, 1613, 3226, 4839, 9678
The HCF of 8627,9678 is 1.
Lets's calculate GCF of 8627,9678
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8627
:1,8627
Now, list down the factors of 9678
:1,2,3,6,1613,3226,4839,9678
Greatest Common Factor
We found the factors 8627,9678 . The biggest common factor number is the GCF number.
So the greatest common factor 8627,9678 is 1.
Lets's calculate LCM of 649,2463
Given numbers has no common factors except 1. So, there LCM is their product i.e 1598487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1598487
Therefore, the GCF of Fractions 8627/649,9678/2463 is 1/1598487
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 649,2463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,2463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,2463) x common factors =1 x 1 = 1
LCM(649,2463) = ( 649 × 2463 ) / 1
LCM(649,2463) = 1598487 / 1
LCM(649,2463) = 1598487
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8627,9678?
The HCF of 8627,9678 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 8627/649, 9678/2463?
Answer: GCF of Numerators as per given numbers 8627/649, 9678/2463 is
GCF of Numerators i.e. for 8627,9678 is 1
LCM of denominators i.e. for 649,2463 is 1598487.
Thus, GCF of Fractions is 1/1598487.Finally, GCF of Fractions for 8627/649, 9678/2463 is 1/1598487.