GCF of 9798/270, 7174/3155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9798/270, 7174/3155 i.e 2/170370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9798/270, 7174/3155.
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 9798/270,7174/3155?
Given fractions are 9798/270,7174/3155
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 9798/270,7174/3155, numerators are 9798,7174
Denominators are 270,3155
The GCF of 9798,7174 is 2 .
LCM of 270,3155 is 170370.
The greatest common factor of 9798/270,7174/3155 = [GCF of 9798,7174]/[LCM of 270,3155]= 2/170370
Therefore, the GCF of 9798/270,7174/3155 is 2/170370.
To find the highest common factor of 9798,7174, we have to find the factors of both numbers and list the highest common factor.
The factors of 9798 are 1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798
The factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174
The HCF of 9798,7174 is 2.
Lets's calculate GCF of 9798,7174
| 2 | 9798, 7174 |
| 4899, 3587 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9798,7174 By Matching Biggest Common Factor Method
Now, list down the factors of 9798
:1,2,3,6,23,46,69,71,138,142,213,426,1633,3266,4899,9798
Now, list down the factors of 7174
:1,2,17,34,211,422,3587,7174
Greatest Common Factor
We found the factors 9798,7174 . The biggest common factor number is the GCF number.
So the greatest common factor 9798,7174 is 2.
Lets's calculate LCM of 270,3155
| 5 | 270, 3155 |
| 54, 631 |
∴ So the LCM of the given numbers is 5 x 54 x 631 = 170370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/170370
Therefore, the GCF of Fractions 9798/270,7174/3155 is 2/170370
Least Common Multiple of 270,3155 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 270,3155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,3155) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(270,3155) x common factors =5 x 1 = 5
LCM(270,3155) = ( 270 × 3155 ) / 5
LCM(270,3155) = 851850 / 5
LCM(270,3155) = 170370
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FAQs on GCF of Fractions of 9798/270, 7174/3155
1. What is the HCF of 9798,7174?
The HCF of 9798,7174 is 2
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 9798/270, 7174/3155?
Answer: GCF of Numerators as per given numbers 9798/270, 7174/3155 is
GCF of Numerators i.e. for 9798,7174 is 2
LCM of denominators i.e. for 270,3155 is 170370.
Thus, GCF of Fractions is 2/170370.Finally, GCF of Fractions for 9798/270, 7174/3155 is 2/170370.