GCF of 9201/814, 6905/7320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9201/814, 6905/7320 i.e 1/2979240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9201/814, 6905/7320.
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 9201/814,6905/7320?
Given fractions are 9201/814,6905/7320
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 9201/814,6905/7320, numerators are 9201,6905
Denominators are 814,7320
The GCF of 9201,6905 is 1 .
LCM of 814,7320 is 2979240.
The greatest common factor of 9201/814,6905/7320 = [GCF of 9201,6905]/[LCM of 814,7320]= 1/2979240
Therefore, the GCF of 9201/814,6905/7320 is 1/2979240.
To find the highest common factor of 9201,6905, we have to find the factors of both numbers and list the highest common factor.
The factors of 9201 are 1, 3, 3067, 9201
The factors of 6905 are 1, 5, 1381, 6905
The HCF of 9201,6905 is 1.
Lets's calculate GCF of 9201,6905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9201,6905 By Matching Biggest Common Factor Method
Now, list down the factors of 9201
:1,3,3067,9201
Now, list down the factors of 6905
:1,5,1381,6905
Greatest Common Factor
We found the factors 9201,6905 . The biggest common factor number is the GCF number.
So the greatest common factor 9201,6905 is 1.
Lets's calculate LCM of 814,7320
| 2 | 814, 7320 |
| 407, 3660 |
∴ So the LCM of the given numbers is 2 x 407 x 3660 = 2979240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2979240
Therefore, the GCF of Fractions 9201/814,6905/7320 is 1/2979240
Least Common Multiple of 814,7320 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 814,7320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,7320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,7320) x common factors =2 x 1 = 2
LCM(814,7320) = ( 814 × 7320 ) / 2
LCM(814,7320) = 5958480 / 2
LCM(814,7320) = 2979240
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FAQs on GCF of Fractions of 9201/814, 6905/7320
1. What is the HCF of 9201,6905?
The HCF of 9201,6905 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 9201/814, 6905/7320?
Answer: GCF of Numerators as per given numbers 9201/814, 6905/7320 is
GCF of Numerators i.e. for 9201,6905 is 1
LCM of denominators i.e. for 814,7320 is 2979240.
Thus, GCF of Fractions is 1/2979240.Finally, GCF of Fractions for 9201/814, 6905/7320 is 1/2979240.