GCF of 99/960, 6329/5798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/960, 6329/5798 i.e 1/2783040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/960, 6329/5798.
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 99/960,6329/5798?
Given fractions are 99/960,6329/5798
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 99/960,6329/5798, numerators are 99,6329
Denominators are 960,5798
The GCF of 99,6329 is 1 .
LCM of 960,5798 is 2783040.
The greatest common factor of 99/960,6329/5798 = [GCF of 99,6329]/[LCM of 960,5798]= 1/2783040
Therefore, the GCF of 99/960,6329/5798 is 1/2783040.
To find the highest common factor of 99,6329, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 6329 are 1, 6329
The HCF of 99,6329 is 1.
Lets's calculate GCF of 99,6329
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 99,6329 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 6329
:1,6329
Greatest Common Factor
We found the factors 99,6329 . The biggest common factor number is the GCF number.
So the greatest common factor 99,6329 is 1.
Lets's calculate LCM of 960,5798
| 2 | 960, 5798 |
| 480, 2899 |
∴ So the LCM of the given numbers is 2 x 480 x 2899 = 2783040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2783040
Therefore, the GCF of Fractions 99/960,6329/5798 is 1/2783040
Least Common Multiple of 960,5798 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 960,5798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,5798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,5798) x common factors =2 x 1 = 2
LCM(960,5798) = ( 960 × 5798 ) / 2
LCM(960,5798) = 5566080 / 2
LCM(960,5798) = 2783040
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FAQs on GCF of Fractions of 99/960, 6329/5798
1. What is the HCF of 99,6329?
The HCF of 99,6329 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 99/960, 6329/5798?
Answer: GCF of Numerators as per given numbers 99/960, 6329/5798 is
GCF of Numerators i.e. for 99,6329 is 1
LCM of denominators i.e. for 960,5798 is 2783040.
Thus, GCF of Fractions is 1/2783040.Finally, GCF of Fractions for 99/960, 6329/5798 is 1/2783040.