GCF of 9391/270, 9797/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9391/270, 9797/438 i.e 1/19710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9391/270, 9797/438.
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 9391/270,9797/438?
Given fractions are 9391/270,9797/438
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 9391/270,9797/438, numerators are 9391,9797
Denominators are 270,438
The GCF of 9391,9797 is 1 .
LCM of 270,438 is 19710.
The greatest common factor of 9391/270,9797/438 = [GCF of 9391,9797]/[LCM of 270,438]= 1/19710
Therefore, the GCF of 9391/270,9797/438 is 1/19710.
To find the highest common factor of 9391,9797, we have to find the factors of both numbers and list the highest common factor.
The factors of 9391 are 1, 9391
The factors of 9797 are 1, 97, 101, 9797
The HCF of 9391,9797 is 1.
Lets's calculate GCF of 9391,9797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9391,9797 By Matching Biggest Common Factor Method
Now, list down the factors of 9391
:1,9391
Now, list down the factors of 9797
:1,97,101,9797
Greatest Common Factor
We found the factors 9391,9797 . The biggest common factor number is the GCF number.
So the greatest common factor 9391,9797 is 1.
Lets's calculate LCM of 270,438
| 2 | 270, 438 |
| 3 | 135, 219 |
| 45, 73 |
∴ So the LCM of the given numbers is 2 x 3 x 45 x 73 = 19710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19710
Therefore, the GCF of Fractions 9391/270,9797/438 is 1/19710
Least Common Multiple of 270,438 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 270,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,438) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(270,438) x common factors =6 x 1 = 6
LCM(270,438) = ( 270 × 438 ) / 6
LCM(270,438) = 118260 / 6
LCM(270,438) = 19710
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FAQs on GCF of Fractions of 9391/270, 9797/438
1. What is the HCF of 9391,9797?
The HCF of 9391,9797 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 9391/270, 9797/438?
Answer: GCF of Numerators as per given numbers 9391/270, 9797/438 is
GCF of Numerators i.e. for 9391,9797 is 1
LCM of denominators i.e. for 270,438 is 19710.
Thus, GCF of Fractions is 1/19710.Finally, GCF of Fractions for 9391/270, 9797/438 is 1/19710.