Use our free GCF of Fractions Calculator tool to compute the GCF of 8718/942, 4825/6737 i.e 1/6346254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8718/942, 4825/6737.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8718/942,4825/6737
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 8718/942,4825/6737, numerators are 8718,4825
Denominators are 942,6737
The GCF of 8718,4825 is 1 .
LCM of 942,6737 is 6346254.
The greatest common factor of 8718/942,4825/6737 = [GCF of 8718,4825]/[LCM of 942,6737]= 1/6346254
Therefore, the GCF of 8718/942,4825/6737 is 1/6346254.
To find the highest common factor of 8718,4825, we have to find the factors of both numbers and list the highest common factor.
The factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718
The factors of 4825 are 1, 5, 25, 193, 965, 4825
The HCF of 8718,4825 is 1.
Lets's calculate GCF of 8718,4825
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8718
:1,2,3,6,1453,2906,4359,8718
Now, list down the factors of 4825
:1,5,25,193,965,4825
Greatest Common Factor
We found the factors 8718,4825 . The biggest common factor number is the GCF number.
So the greatest common factor 8718,4825 is 1.
Lets's calculate LCM of 942,6737
Given numbers has no common factors except 1. So, there LCM is their product i.e 6346254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6346254
Therefore, the GCF of Fractions 8718/942,4825/6737 is 1/6346254
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 942,6737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,6737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(942,6737) x common factors =1 x 1 = 1
LCM(942,6737) = ( 942 × 6737 ) / 1
LCM(942,6737) = 6346254 / 1
LCM(942,6737) = 6346254
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8718,4825?
The HCF of 8718,4825 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 8718/942, 4825/6737?
Answer: GCF of Numerators as per given numbers 8718/942, 4825/6737 is
GCF of Numerators i.e. for 8718,4825 is 1
LCM of denominators i.e. for 942,6737 is 6346254.
Thus, GCF of Fractions is 1/6346254.Finally, GCF of Fractions for 8718/942, 4825/6737 is 1/6346254.