Use our free GCF of Fractions Calculator tool to compute the GCF of 7176/414, 7871/7676 i.e 1/1588932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7176/414, 7871/7676.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7176/414,7871/7676
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 7176/414,7871/7676, numerators are 7176,7871
Denominators are 414,7676
The GCF of 7176,7871 is 1 .
LCM of 414,7676 is 1588932.
The greatest common factor of 7176/414,7871/7676 = [GCF of 7176,7871]/[LCM of 414,7676]= 1/1588932
Therefore, the GCF of 7176/414,7871/7676 is 1/1588932.
To find the highest common factor of 7176,7871, we have to find the factors of both numbers and list the highest common factor.
The factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176
The factors of 7871 are 1, 17, 463, 7871
The HCF of 7176,7871 is 1.
Lets's calculate GCF of 7176,7871
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7176
:1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176
Now, list down the factors of 7871
:1,17,463,7871
Greatest Common Factor
We found the factors 7176,7871 . The biggest common factor number is the GCF number.
So the greatest common factor 7176,7871 is 1.
Lets's calculate LCM of 414,7676
2 | 414, 7676 |
207, 3838 |
∴ So the LCM of the given numbers is 2 x 207 x 3838 = 1588932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1588932
Therefore, the GCF of Fractions 7176/414,7871/7676 is 1/1588932
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 414,7676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,7676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,7676) x common factors =2 x 1 = 2
LCM(414,7676) = ( 414 × 7676 ) / 2
LCM(414,7676) = 3177864 / 2
LCM(414,7676) = 1588932
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7176,7871?
The HCF of 7176,7871 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 7176/414, 7871/7676?
Answer: GCF of Numerators as per given numbers 7176/414, 7871/7676 is
GCF of Numerators i.e. for 7176,7871 is 1
LCM of denominators i.e. for 414,7676 is 1588932.
Thus, GCF of Fractions is 1/1588932.Finally, GCF of Fractions for 7176/414, 7871/7676 is 1/1588932.