Use our free GCF of Fractions Calculator tool to compute the GCF of 2506/982, 3107/8813 i.e 1/8654366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2506/982, 3107/8813.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2506/982,3107/8813
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 2506/982,3107/8813, numerators are 2506,3107
Denominators are 982,8813
The GCF of 2506,3107 is 1 .
LCM of 982,8813 is 8654366.
The greatest common factor of 2506/982,3107/8813 = [GCF of 2506,3107]/[LCM of 982,8813]= 1/8654366
Therefore, the GCF of 2506/982,3107/8813 is 1/8654366.
To find the highest common factor of 2506,3107, we have to find the factors of both numbers and list the highest common factor.
The factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506
The factors of 3107 are 1, 13, 239, 3107
The HCF of 2506,3107 is 1.
Lets's calculate GCF of 2506,3107
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2506
:1,2,7,14,179,358,1253,2506
Now, list down the factors of 3107
:1,13,239,3107
Greatest Common Factor
We found the factors 2506,3107 . The biggest common factor number is the GCF number.
So the greatest common factor 2506,3107 is 1.
Lets's calculate LCM of 982,8813
Given numbers has no common factors except 1. So, there LCM is their product i.e 8654366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8654366
Therefore, the GCF of Fractions 2506/982,3107/8813 is 1/8654366
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 982,8813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,8813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,8813) x common factors =1 x 1 = 1
LCM(982,8813) = ( 982 × 8813 ) / 1
LCM(982,8813) = 8654366 / 1
LCM(982,8813) = 8654366
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2506,3107?
The HCF of 2506,3107 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 2506/982, 3107/8813?
Answer: GCF of Numerators as per given numbers 2506/982, 3107/8813 is
GCF of Numerators i.e. for 2506,3107 is 1
LCM of denominators i.e. for 982,8813 is 8654366.
Thus, GCF of Fractions is 1/8654366.Finally, GCF of Fractions for 2506/982, 3107/8813 is 1/8654366.