GCF of 9832/279, 5842/268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9832/279, 5842/268 i.e 2/74772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9832/279, 5842/268.
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 9832/279,5842/268?
Given fractions are 9832/279,5842/268
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 9832/279,5842/268, numerators are 9832,5842
Denominators are 279,268
The GCF of 9832,5842 is 2 .
LCM of 279,268 is 74772.
The greatest common factor of 9832/279,5842/268 = [GCF of 9832,5842]/[LCM of 279,268]= 2/74772
Therefore, the GCF of 9832/279,5842/268 is 2/74772.
To find the highest common factor of 9832,5842, we have to find the factors of both numbers and list the highest common factor.
The factors of 9832 are 1, 2, 4, 8, 1229, 2458, 4916, 9832
The factors of 5842 are 1, 2, 23, 46, 127, 254, 2921, 5842
The HCF of 9832,5842 is 2.
Lets's calculate GCF of 9832,5842
| 2 | 9832, 5842 |
| 4916, 2921 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9832,5842 By Matching Biggest Common Factor Method
Now, list down the factors of 9832
:1,2,4,8,1229,2458,4916,9832
Now, list down the factors of 5842
:1,2,23,46,127,254,2921,5842
Greatest Common Factor
We found the factors 9832,5842 . The biggest common factor number is the GCF number.
So the greatest common factor 9832,5842 is 2.
Lets's calculate LCM of 279,268
Given numbers has no common factors except 1. So, there LCM is their product i.e 74772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74772
Therefore, the GCF of Fractions 9832/279,5842/268 is 2/74772
Least Common Multiple of 279,268 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 279,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,268) x common factors =1 x 1 = 1
LCM(279,268) = ( 279 × 268 ) / 1
LCM(279,268) = 74772 / 1
LCM(279,268) = 74772
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FAQs on GCF of Fractions of 9832/279, 5842/268
1. What is the HCF of 9832,5842?
The HCF of 9832,5842 is 2
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 9832/279, 5842/268?
Answer: GCF of Numerators as per given numbers 9832/279, 5842/268 is
GCF of Numerators i.e. for 9832,5842 is 2
LCM of denominators i.e. for 279,268 is 74772.
Thus, GCF of Fractions is 2/74772.Finally, GCF of Fractions for 9832/279, 5842/268 is 2/74772.