GCF of 7998/809, 9870/2593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7998/809, 9870/2593 i.e 6/2097737 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7998/809, 9870/2593.
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 7998/809,9870/2593?
Given fractions are 7998/809,9870/2593
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 7998/809,9870/2593, numerators are 7998,9870
Denominators are 809,2593
The GCF of 7998,9870 is 6 .
LCM of 809,2593 is 2097737.
The greatest common factor of 7998/809,9870/2593 = [GCF of 7998,9870]/[LCM of 809,2593]= 6/2097737
Therefore, the GCF of 7998/809,9870/2593 is 6/2097737.
To find the highest common factor of 7998,9870, we have to find the factors of both numbers and list the highest common factor.
The factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998
The factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870
The HCF of 7998,9870 is 6.
Lets's calculate GCF of 7998,9870
| 2 | 7998, 9870 |
| 3 | 3999, 4935 |
| 1333, 1645 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7998,9870 By Matching Biggest Common Factor Method
Now, list down the factors of 7998
:1,2,3,6,31,43,62,86,93,129,186,258,1333,2666,3999,7998
Now, list down the factors of 9870
:1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Greatest Common Factor
We found the factors 7998,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 7998,9870 is 6.
Lets's calculate LCM of 809,2593
Given numbers has no common factors except 1. So, there LCM is their product i.e 2097737
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2097737
Therefore, the GCF of Fractions 7998/809,9870/2593 is 6/2097737
Least Common Multiple of 809,2593 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 809,2593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,2593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,2593) x common factors =1 x 1 = 1
LCM(809,2593) = ( 809 × 2593 ) / 1
LCM(809,2593) = 2097737 / 1
LCM(809,2593) = 2097737
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FAQs on GCF of Fractions of 7998/809, 9870/2593
1. What is the HCF of 7998,9870?
The HCF of 7998,9870 is 6
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 7998/809, 9870/2593?
Answer: GCF of Numerators as per given numbers 7998/809, 9870/2593 is
GCF of Numerators i.e. for 7998,9870 is 6
LCM of denominators i.e. for 809,2593 is 2097737.
Thus, GCF of Fractions is 6/2097737.Finally, GCF of Fractions for 7998/809, 9870/2593 is 6/2097737.