Use our free GCF of Fractions Calculator tool to compute the GCF of 7771/246, 3058/7766 i.e 1/955218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7771/246, 3058/7766.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7771/246,3058/7766
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 7771/246,3058/7766, numerators are 7771,3058
Denominators are 246,7766
The GCF of 7771,3058 is 1 .
LCM of 246,7766 is 955218.
The greatest common factor of 7771/246,3058/7766 = [GCF of 7771,3058]/[LCM of 246,7766]= 1/955218
Therefore, the GCF of 7771/246,3058/7766 is 1/955218.
To find the highest common factor of 7771,3058, we have to find the factors of both numbers and list the highest common factor.
The factors of 7771 are 1, 19, 409, 7771
The factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058
The HCF of 7771,3058 is 1.
Lets's calculate GCF of 7771,3058
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7771
:1,19,409,7771
Now, list down the factors of 3058
:1,2,11,22,139,278,1529,3058
Greatest Common Factor
We found the factors 7771,3058 . The biggest common factor number is the GCF number.
So the greatest common factor 7771,3058 is 1.
Lets's calculate LCM of 246,7766
2 | 246, 7766 |
123, 3883 |
∴ So the LCM of the given numbers is 2 x 123 x 3883 = 955218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/955218
Therefore, the GCF of Fractions 7771/246,3058/7766 is 1/955218
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 246,7766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,7766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(246,7766) x common factors =2 x 1 = 2
LCM(246,7766) = ( 246 × 7766 ) / 2
LCM(246,7766) = 1910436 / 2
LCM(246,7766) = 955218
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7771,3058?
The HCF of 7771,3058 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 7771/246, 3058/7766?
Answer: GCF of Numerators as per given numbers 7771/246, 3058/7766 is
GCF of Numerators i.e. for 7771,3058 is 1
LCM of denominators i.e. for 246,7766 is 955218.
Thus, GCF of Fractions is 1/955218.Finally, GCF of Fractions for 7771/246, 3058/7766 is 1/955218.