GCF of 9412/840, 2997/4440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9412/840, 2997/4440 i.e 1/31080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9412/840, 2997/4440.
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 9412/840,2997/4440?
Given fractions are 9412/840,2997/4440
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 9412/840,2997/4440, numerators are 9412,2997
Denominators are 840,4440
The GCF of 9412,2997 is 1 .
LCM of 840,4440 is 31080.
The greatest common factor of 9412/840,2997/4440 = [GCF of 9412,2997]/[LCM of 840,4440]= 1/31080
Therefore, the GCF of 9412/840,2997/4440 is 1/31080.
To find the highest common factor of 9412,2997, we have to find the factors of both numbers and list the highest common factor.
The factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412
The factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997
The HCF of 9412,2997 is 1.
Lets's calculate GCF of 9412,2997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9412,2997 By Matching Biggest Common Factor Method
Now, list down the factors of 9412
:1,2,4,13,26,52,181,362,724,2353,4706,9412
Now, list down the factors of 2997
:1,3,9,27,37,81,111,333,999,2997
Greatest Common Factor
We found the factors 9412,2997 . The biggest common factor number is the GCF number.
So the greatest common factor 9412,2997 is 1.
Lets's calculate LCM of 840,4440
| 2 | 840, 4440 |
| 2 | 420, 2220 |
| 2 | 210, 1110 |
| 3 | 105, 555 |
| 5 | 35, 185 |
| 7, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 37 = 31080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31080
Therefore, the GCF of Fractions 9412/840,2997/4440 is 1/31080
Least Common Multiple of 840,4440 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 840,4440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,4440) = 120
common factors(in case of two or more numbers have common factors) = 1
GCF(840,4440) x common factors =120 x 1 = 120
LCM(840,4440) = ( 840 × 4440 ) / 120
LCM(840,4440) = 3729600 / 120
LCM(840,4440) = 31080
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FAQs on GCF of Fractions of 9412/840, 2997/4440
1. What is the HCF of 9412,2997?
The HCF of 9412,2997 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 9412/840, 2997/4440?
Answer: GCF of Numerators as per given numbers 9412/840, 2997/4440 is
GCF of Numerators i.e. for 9412,2997 is 1
LCM of denominators i.e. for 840,4440 is 31080.
Thus, GCF of Fractions is 1/31080.Finally, GCF of Fractions for 9412/840, 2997/4440 is 1/31080.