GCF of 9849/438, 9254/9370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9849/438, 9254/9370 i.e 7/2052030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9849/438, 9254/9370.
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 9849/438,9254/9370?
Given fractions are 9849/438,9254/9370
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 9849/438,9254/9370, numerators are 9849,9254
Denominators are 438,9370
The GCF of 9849,9254 is 7 .
LCM of 438,9370 is 2052030.
The greatest common factor of 9849/438,9254/9370 = [GCF of 9849,9254]/[LCM of 438,9370]= 7/2052030
Therefore, the GCF of 9849/438,9254/9370 is 7/2052030.
To find the highest common factor of 9849,9254, we have to find the factors of both numbers and list the highest common factor.
The factors of 9849 are 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849
The factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254
The HCF of 9849,9254 is 7.
Lets's calculate GCF of 9849,9254
| 7 | 9849, 9254 |
| 1407, 1322 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9849,9254 By Matching Biggest Common Factor Method
Now, list down the factors of 9849
:1,3,7,21,49,67,147,201,469,1407,3283,9849
Now, list down the factors of 9254
:1,2,7,14,661,1322,4627,9254
Greatest Common Factor
We found the factors 9849,9254 . The biggest common factor number is the GCF number.
So the greatest common factor 9849,9254 is 7.
Lets's calculate LCM of 438,9370
| 2 | 438, 9370 |
| 219, 4685 |
∴ So the LCM of the given numbers is 2 x 219 x 4685 = 2052030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2052030
Therefore, the GCF of Fractions 9849/438,9254/9370 is 7/2052030
Least Common Multiple of 438,9370 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 438,9370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,9370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,9370) x common factors =2 x 1 = 2
LCM(438,9370) = ( 438 × 9370 ) / 2
LCM(438,9370) = 4104060 / 2
LCM(438,9370) = 2052030
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FAQs on GCF of Fractions of 9849/438, 9254/9370
1. What is the HCF of 9849,9254?
The HCF of 9849,9254 is 7
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 9849/438, 9254/9370?
Answer: GCF of Numerators as per given numbers 9849/438, 9254/9370 is
GCF of Numerators i.e. for 9849,9254 is 7
LCM of denominators i.e. for 438,9370 is 2052030.
Thus, GCF of Fractions is 7/2052030.Finally, GCF of Fractions for 9849/438, 9254/9370 is 7/2052030.