GCF of 9889/592, 2079/798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9889/592, 2079/798 i.e 11/236208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9889/592, 2079/798.
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 9889/592,2079/798?
Given fractions are 9889/592,2079/798
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 9889/592,2079/798, numerators are 9889,2079
Denominators are 592,798
The GCF of 9889,2079 is 11 .
LCM of 592,798 is 236208.
The greatest common factor of 9889/592,2079/798 = [GCF of 9889,2079]/[LCM of 592,798]= 11/236208
Therefore, the GCF of 9889/592,2079/798 is 11/236208.
To find the highest common factor of 9889,2079, we have to find the factors of both numbers and list the highest common factor.
The factors of 9889 are 1, 11, 29, 31, 319, 341, 899, 9889
The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
The HCF of 9889,2079 is 11.
Lets's calculate GCF of 9889,2079
| 11 | 9889, 2079 |
| 899, 189 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9889,2079 By Matching Biggest Common Factor Method
Now, list down the factors of 9889
:1,11,29,31,319,341,899,9889
Now, list down the factors of 2079
:1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079
Greatest Common Factor
We found the factors 9889,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 9889,2079 is 11.
Lets's calculate LCM of 592,798
| 2 | 592, 798 |
| 296, 399 |
∴ So the LCM of the given numbers is 2 x 296 x 399 = 236208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/236208
Therefore, the GCF of Fractions 9889/592,2079/798 is 11/236208
Least Common Multiple of 592,798 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 592,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(592,798) x common factors =2 x 1 = 2
LCM(592,798) = ( 592 × 798 ) / 2
LCM(592,798) = 472416 / 2
LCM(592,798) = 236208
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FAQs on GCF of Fractions of 9889/592, 2079/798
1. What is the HCF of 9889,2079?
The HCF of 9889,2079 is 11
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 9889/592, 2079/798?
Answer: GCF of Numerators as per given numbers 9889/592, 2079/798 is
GCF of Numerators i.e. for 9889,2079 is 11
LCM of denominators i.e. for 592,798 is 236208.
Thus, GCF of Fractions is 11/236208.Finally, GCF of Fractions for 9889/592, 2079/798 is 11/236208.