GCF of 9492/575, 1330/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9492/575, 1330/405 i.e 14/46575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9492/575, 1330/405.
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 9492/575,1330/405?
Given fractions are 9492/575,1330/405
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 9492/575,1330/405, numerators are 9492,1330
Denominators are 575,405
The GCF of 9492,1330 is 14 .
LCM of 575,405 is 46575.
The greatest common factor of 9492/575,1330/405 = [GCF of 9492,1330]/[LCM of 575,405]= 14/46575
Therefore, the GCF of 9492/575,1330/405 is 14/46575.
To find the highest common factor of 9492,1330, we have to find the factors of both numbers and list the highest common factor.
The factors of 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492
The factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
The HCF of 9492,1330 is 14.
Lets's calculate GCF of 9492,1330
| 2 | 9492, 1330 |
| 7 | 4746, 665 |
| 678, 95 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9492,1330 By Matching Biggest Common Factor Method
Now, list down the factors of 9492
:1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492
Now, list down the factors of 1330
:1,2,5,7,10,14,19,35,38,70,95,133,190,266,665,1330
Greatest Common Factor
We found the factors 9492,1330 . The biggest common factor number is the GCF number.
So the greatest common factor 9492,1330 is 14.
Lets's calculate LCM of 575,405
| 5 | 575, 405 |
| 115, 81 |
∴ So the LCM of the given numbers is 5 x 115 x 81 = 46575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/46575
Therefore, the GCF of Fractions 9492/575,1330/405 is 14/46575
Least Common Multiple of 575,405 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 575,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,405) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(575,405) x common factors =5 x 1 = 5
LCM(575,405) = ( 575 × 405 ) / 5
LCM(575,405) = 232875 / 5
LCM(575,405) = 46575
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FAQs on GCF of Fractions of 9492/575, 1330/405
1. What is the HCF of 9492,1330?
The HCF of 9492,1330 is 14
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 9492/575, 1330/405?
Answer: GCF of Numerators as per given numbers 9492/575, 1330/405 is
GCF of Numerators i.e. for 9492,1330 is 14
LCM of denominators i.e. for 575,405 is 46575.
Thus, GCF of Fractions is 14/46575.Finally, GCF of Fractions for 9492/575, 1330/405 is 14/46575.