Use our free GCF of Fractions Calculator tool to compute the GCF of 8044/989, 7524/8974 i.e 4/8875286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8044/989, 7524/8974.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8044/989,7524/8974
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 8044/989,7524/8974, numerators are 8044,7524
Denominators are 989,8974
The GCF of 8044,7524 is 4 .
LCM of 989,8974 is 8875286.
The greatest common factor of 8044/989,7524/8974 = [GCF of 8044,7524]/[LCM of 989,8974]= 4/8875286
Therefore, the GCF of 8044/989,7524/8974 is 4/8875286.
To find the highest common factor of 8044,7524, we have to find the factors of both numbers and list the highest common factor.
The factors of 8044 are 1, 2, 4, 2011, 4022, 8044
The factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524
The HCF of 8044,7524 is 4.
Lets's calculate GCF of 8044,7524
2 | 8044, 7524 |
2 | 4022, 3762 |
2011, 1881 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 8044
:1,2,4,2011,4022,8044
Now, list down the factors of 7524
:1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524
Greatest Common Factor
We found the factors 8044,7524 . The biggest common factor number is the GCF number.
So the greatest common factor 8044,7524 is 4.
Lets's calculate LCM of 989,8974
Given numbers has no common factors except 1. So, there LCM is their product i.e 8875286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8875286
Therefore, the GCF of Fractions 8044/989,7524/8974 is 4/8875286
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 989,8974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,8974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,8974) x common factors =1 x 1 = 1
LCM(989,8974) = ( 989 × 8974 ) / 1
LCM(989,8974) = 8875286 / 1
LCM(989,8974) = 8875286
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8044,7524?
The HCF of 8044,7524 is 4
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 8044/989, 7524/8974?
Answer: GCF of Numerators as per given numbers 8044/989, 7524/8974 is
GCF of Numerators i.e. for 8044,7524 is 4
LCM of denominators i.e. for 989,8974 is 8875286.
Thus, GCF of Fractions is 4/8875286.Finally, GCF of Fractions for 8044/989, 7524/8974 is 4/8875286.