GCF of 9792/591, 5419/945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9792/591, 5419/945 i.e 1/186165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9792/591, 5419/945.
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 9792/591,5419/945?
Given fractions are 9792/591,5419/945
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 9792/591,5419/945, numerators are 9792,5419
Denominators are 591,945
The GCF of 9792,5419 is 1 .
LCM of 591,945 is 186165.
The greatest common factor of 9792/591,5419/945 = [GCF of 9792,5419]/[LCM of 591,945]= 1/186165
Therefore, the GCF of 9792/591,5419/945 is 1/186165.
To find the highest common factor of 9792,5419, we have to find the factors of both numbers and list the highest common factor.
The factors of 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792
The factors of 5419 are 1, 5419
The HCF of 9792,5419 is 1.
Lets's calculate GCF of 9792,5419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9792,5419 By Matching Biggest Common Factor Method
Now, list down the factors of 9792
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792
Now, list down the factors of 5419
:1,5419
Greatest Common Factor
We found the factors 9792,5419 . The biggest common factor number is the GCF number.
So the greatest common factor 9792,5419 is 1.
Lets's calculate LCM of 591,945
| 3 | 591, 945 |
| 197, 315 |
∴ So the LCM of the given numbers is 3 x 197 x 315 = 186165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186165
Therefore, the GCF of Fractions 9792/591,5419/945 is 1/186165
Least Common Multiple of 591,945 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 591,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,945) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,945) x common factors =3 x 1 = 3
LCM(591,945) = ( 591 × 945 ) / 3
LCM(591,945) = 558495 / 3
LCM(591,945) = 186165
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FAQs on GCF of Fractions of 9792/591, 5419/945
1. What is the HCF of 9792,5419?
The HCF of 9792,5419 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 9792/591, 5419/945?
Answer: GCF of Numerators as per given numbers 9792/591, 5419/945 is
GCF of Numerators i.e. for 9792,5419 is 1
LCM of denominators i.e. for 591,945 is 186165.
Thus, GCF of Fractions is 1/186165.Finally, GCF of Fractions for 9792/591, 5419/945 is 1/186165.