Use our free GCF of Fractions Calculator tool to compute the GCF of 8246/895, 2850/9587 i.e 38/8580365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8246/895, 2850/9587.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8246/895,2850/9587
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 8246/895,2850/9587, numerators are 8246,2850
Denominators are 895,9587
The GCF of 8246,2850 is 38 .
LCM of 895,9587 is 8580365.
The greatest common factor of 8246/895,2850/9587 = [GCF of 8246,2850]/[LCM of 895,9587]= 38/8580365
Therefore, the GCF of 8246/895,2850/9587 is 38/8580365.
To find the highest common factor of 8246,2850, we have to find the factors of both numbers and list the highest common factor.
The factors of 8246 are 1, 2, 7, 14, 19, 31, 38, 62, 133, 217, 266, 434, 589, 1178, 4123, 8246
The factors of 2850 are 1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425, 2850
The HCF of 8246,2850 is 38.
Lets's calculate GCF of 8246,2850
2 | 8246, 2850 |
19 | 4123, 1425 |
217, 75 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Now, list down the factors of 8246
:1,2,7,14,19,31,38,62,133,217,266,434,589,1178,4123,8246
Now, list down the factors of 2850
:1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850
Greatest Common Factor
We found the factors 8246,2850 . The biggest common factor number is the GCF number.
So the greatest common factor 8246,2850 is 38.
Lets's calculate LCM of 895,9587
Given numbers has no common factors except 1. So, there LCM is their product i.e 8580365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/8580365
Therefore, the GCF of Fractions 8246/895,2850/9587 is 38/8580365
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 895,9587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,9587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,9587) x common factors =1 x 1 = 1
LCM(895,9587) = ( 895 × 9587 ) / 1
LCM(895,9587) = 8580365 / 1
LCM(895,9587) = 8580365
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8246,2850?
The HCF of 8246,2850 is 38
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 8246/895, 2850/9587?
Answer: GCF of Numerators as per given numbers 8246/895, 2850/9587 is
GCF of Numerators i.e. for 8246,2850 is 38
LCM of denominators i.e. for 895,9587 is 8580365.
Thus, GCF of Fractions is 38/8580365.Finally, GCF of Fractions for 8246/895, 2850/9587 is 38/8580365.