Use our free GCF of Fractions Calculator tool to compute the GCF of 82/979, 8014/2807 i.e 2/2748053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/979, 8014/2807.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/979,8014/2807
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 82/979,8014/2807, numerators are 82,8014
Denominators are 979,2807
The GCF of 82,8014 is 2 .
LCM of 979,2807 is 2748053.
The greatest common factor of 82/979,8014/2807 = [GCF of 82,8014]/[LCM of 979,2807]= 2/2748053
Therefore, the GCF of 82/979,8014/2807 is 2/2748053.
To find the highest common factor of 82,8014, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 8014 are 1, 2, 4007, 8014
The HCF of 82,8014 is 2.
Lets's calculate GCF of 82,8014
2 | 82, 8014 |
41, 4007 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 8014
:1,2,4007,8014
Greatest Common Factor
We found the factors 82,8014 . The biggest common factor number is the GCF number.
So the greatest common factor 82,8014 is 2.
Lets's calculate LCM of 979,2807
Given numbers has no common factors except 1. So, there LCM is their product i.e 2748053
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2748053
Therefore, the GCF of Fractions 82/979,8014/2807 is 2/2748053
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 979,2807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,2807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,2807) x common factors =1 x 1 = 1
LCM(979,2807) = ( 979 × 2807 ) / 1
LCM(979,2807) = 2748053 / 1
LCM(979,2807) = 2748053
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 82,8014?
The HCF of 82,8014 is 2
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 82/979, 8014/2807?
Answer: GCF of Numerators as per given numbers 82/979, 8014/2807 is
GCF of Numerators i.e. for 82,8014 is 2
LCM of denominators i.e. for 979,2807 is 2748053.
Thus, GCF of Fractions is 2/2748053.Finally, GCF of Fractions for 82/979, 8014/2807 is 2/2748053.