GCF of 8950/987, 5109/7398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8950/987, 5109/7398 i.e 1/2433942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8950/987, 5109/7398.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8950/987,5109/7398?
Given fractions are 8950/987,5109/7398
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 8950/987,5109/7398, numerators are 8950,5109
Denominators are 987,7398
The GCF of 8950,5109 is 1 .
LCM of 987,7398 is 2433942.
The greatest common factor of 8950/987,5109/7398 = [GCF of 8950,5109]/[LCM of 987,7398]= 1/2433942
Therefore, the GCF of 8950/987,5109/7398 is 1/2433942.
To find the highest common factor of 8950,5109, we have to find the factors of both numbers and list the highest common factor.
The factors of 8950 are 1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950
The factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109
The HCF of 8950,5109 is 1.
Lets's calculate GCF of 8950,5109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8950,5109 By Matching Biggest Common Factor Method
Now, list down the factors of 8950
:1,2,5,10,25,50,179,358,895,1790,4475,8950
Now, list down the factors of 5109
:1,3,13,39,131,393,1703,5109
Greatest Common Factor
We found the factors 8950,5109 . The biggest common factor number is the GCF number.
So the greatest common factor 8950,5109 is 1.
Lets's calculate LCM of 987,7398
| 3 | 987, 7398 |
| 329, 2466 |
∴ So the LCM of the given numbers is 3 x 329 x 2466 = 2433942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2433942
Therefore, the GCF of Fractions 8950/987,5109/7398 is 1/2433942
Least Common Multiple of 987,7398 with GCF Formula
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 987,7398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,7398) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(987,7398) x common factors =3 x 1 = 3
LCM(987,7398) = ( 987 × 7398 ) / 3
LCM(987,7398) = 7301826 / 3
LCM(987,7398) = 2433942
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8950/987, 5109/7398
1. What is the HCF of 8950,5109?
The HCF of 8950,5109 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 8950/987, 5109/7398?
Answer: GCF of Numerators as per given numbers 8950/987, 5109/7398 is
GCF of Numerators i.e. for 8950,5109 is 1
LCM of denominators i.e. for 987,7398 is 2433942.
Thus, GCF of Fractions is 1/2433942.Finally, GCF of Fractions for 8950/987, 5109/7398 is 1/2433942.