GCF of 9075/279, 6598/1984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9075/279, 6598/1984 i.e 1/17856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9075/279, 6598/1984.
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 9075/279,6598/1984?
Given fractions are 9075/279,6598/1984
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 9075/279,6598/1984, numerators are 9075,6598
Denominators are 279,1984
The GCF of 9075,6598 is 1 .
LCM of 279,1984 is 17856.
The greatest common factor of 9075/279,6598/1984 = [GCF of 9075,6598]/[LCM of 279,1984]= 1/17856
Therefore, the GCF of 9075/279,6598/1984 is 1/17856.
To find the highest common factor of 9075,6598, we have to find the factors of both numbers and list the highest common factor.
The factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075
The factors of 6598 are 1, 2, 3299, 6598
The HCF of 9075,6598 is 1.
Lets's calculate GCF of 9075,6598
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9075,6598 By Matching Biggest Common Factor Method
Now, list down the factors of 9075
:1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075
Now, list down the factors of 6598
:1,2,3299,6598
Greatest Common Factor
We found the factors 9075,6598 . The biggest common factor number is the GCF number.
So the greatest common factor 9075,6598 is 1.
Lets's calculate LCM of 279,1984
| 31 | 279, 1984 |
| 9, 64 |
∴ So the LCM of the given numbers is 31 x 9 x 64 = 17856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17856
Therefore, the GCF of Fractions 9075/279,6598/1984 is 1/17856
Least Common Multiple of 279,1984 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 279,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,1984) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(279,1984) x common factors =31 x 1 = 31
LCM(279,1984) = ( 279 × 1984 ) / 31
LCM(279,1984) = 553536 / 31
LCM(279,1984) = 17856
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FAQs on GCF of Fractions of 9075/279, 6598/1984
1. What is the HCF of 9075,6598?
The HCF of 9075,6598 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 9075/279, 6598/1984?
Answer: GCF of Numerators as per given numbers 9075/279, 6598/1984 is
GCF of Numerators i.e. for 9075,6598 is 1
LCM of denominators i.e. for 279,1984 is 17856.
Thus, GCF of Fractions is 1/17856.Finally, GCF of Fractions for 9075/279, 6598/1984 is 1/17856.