GCF of 9929/462, 9270/1330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9929/462, 9270/1330 i.e 1/43890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9929/462, 9270/1330.
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 9929/462,9270/1330?
Given fractions are 9929/462,9270/1330
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 9929/462,9270/1330, numerators are 9929,9270
Denominators are 462,1330
The GCF of 9929,9270 is 1 .
LCM of 462,1330 is 43890.
The greatest common factor of 9929/462,9270/1330 = [GCF of 9929,9270]/[LCM of 462,1330]= 1/43890
Therefore, the GCF of 9929/462,9270/1330 is 1/43890.
To find the highest common factor of 9929,9270, we have to find the factors of both numbers and list the highest common factor.
The factors of 9929 are 1, 9929
The factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270
The HCF of 9929,9270 is 1.
Lets's calculate GCF of 9929,9270
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9929,9270 By Matching Biggest Common Factor Method
Now, list down the factors of 9929
:1,9929
Now, list down the factors of 9270
:1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270
Greatest Common Factor
We found the factors 9929,9270 . The biggest common factor number is the GCF number.
So the greatest common factor 9929,9270 is 1.
Lets's calculate LCM of 462,1330
| 2 | 462, 1330 |
| 7 | 231, 665 |
| 33, 95 |
∴ So the LCM of the given numbers is 2 x 7 x 33 x 95 = 43890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43890
Therefore, the GCF of Fractions 9929/462,9270/1330 is 1/43890
Least Common Multiple of 462,1330 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 462,1330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,1330) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(462,1330) x common factors =14 x 1 = 14
LCM(462,1330) = ( 462 × 1330 ) / 14
LCM(462,1330) = 614460 / 14
LCM(462,1330) = 43890
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FAQs on GCF of Fractions of 9929/462, 9270/1330
1. What is the HCF of 9929,9270?
The HCF of 9929,9270 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 9929/462, 9270/1330?
Answer: GCF of Numerators as per given numbers 9929/462, 9270/1330 is
GCF of Numerators i.e. for 9929,9270 is 1
LCM of denominators i.e. for 462,1330 is 43890.
Thus, GCF of Fractions is 1/43890.Finally, GCF of Fractions for 9929/462, 9270/1330 is 1/43890.