Use our free GCF of Fractions Calculator tool to compute the GCF of 8424/517, 5564/5287 i.e 52/2733379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8424/517, 5564/5287.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8424/517,5564/5287
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 8424/517,5564/5287, numerators are 8424,5564
Denominators are 517,5287
The GCF of 8424,5564 is 52 .
LCM of 517,5287 is 2733379.
The greatest common factor of 8424/517,5564/5287 = [GCF of 8424,5564]/[LCM of 517,5287]= 52/2733379
Therefore, the GCF of 8424/517,5564/5287 is 52/2733379.
To find the highest common factor of 8424,5564, we have to find the factors of both numbers and list the highest common factor.
The factors of 8424 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424
The factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564
The HCF of 8424,5564 is 52.
Lets's calculate GCF of 8424,5564
2 | 8424, 5564 |
2 | 4212, 2782 |
13 | 2106, 1391 |
162, 107 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Now, list down the factors of 8424
:1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424
Now, list down the factors of 5564
:1,2,4,13,26,52,107,214,428,1391,2782,5564
Greatest Common Factor
We found the factors 8424,5564 . The biggest common factor number is the GCF number.
So the greatest common factor 8424,5564 is 52.
Lets's calculate LCM of 517,5287
Given numbers has no common factors except 1. So, there LCM is their product i.e 2733379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/2733379
Therefore, the GCF of Fractions 8424/517,5564/5287 is 52/2733379
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 517,5287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,5287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,5287) x common factors =1 x 1 = 1
LCM(517,5287) = ( 517 × 5287 ) / 1
LCM(517,5287) = 2733379 / 1
LCM(517,5287) = 2733379
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8424,5564?
The HCF of 8424,5564 is 52
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 8424/517, 5564/5287?
Answer: GCF of Numerators as per given numbers 8424/517, 5564/5287 is
GCF of Numerators i.e. for 8424,5564 is 52
LCM of denominators i.e. for 517,5287 is 2733379.
Thus, GCF of Fractions is 52/2733379.Finally, GCF of Fractions for 8424/517, 5564/5287 is 52/2733379.