GCF of 9206/369, 7312/6523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9206/369, 7312/6523 i.e 2/2406987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9206/369, 7312/6523.
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 9206/369,7312/6523?
Given fractions are 9206/369,7312/6523
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 9206/369,7312/6523, numerators are 9206,7312
Denominators are 369,6523
The GCF of 9206,7312 is 2 .
LCM of 369,6523 is 2406987.
The greatest common factor of 9206/369,7312/6523 = [GCF of 9206,7312]/[LCM of 369,6523]= 2/2406987
Therefore, the GCF of 9206/369,7312/6523 is 2/2406987.
To find the highest common factor of 9206,7312, we have to find the factors of both numbers and list the highest common factor.
The factors of 9206 are 1, 2, 4603, 9206
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The HCF of 9206,7312 is 2.
Lets's calculate GCF of 9206,7312
| 2 | 9206, 7312 |
| 4603, 3656 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9206,7312 By Matching Biggest Common Factor Method
Now, list down the factors of 9206
:1,2,4603,9206
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors 9206,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 9206,7312 is 2.
Lets's calculate LCM of 369,6523
Given numbers has no common factors except 1. So, there LCM is their product i.e 2406987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2406987
Therefore, the GCF of Fractions 9206/369,7312/6523 is 2/2406987
Least Common Multiple of 369,6523 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 369,6523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,6523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,6523) x common factors =1 x 1 = 1
LCM(369,6523) = ( 369 × 6523 ) / 1
LCM(369,6523) = 2406987 / 1
LCM(369,6523) = 2406987
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FAQs on GCF of Fractions of 9206/369, 7312/6523
1. What is the HCF of 9206,7312?
The HCF of 9206,7312 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 9206/369, 7312/6523?
Answer: GCF of Numerators as per given numbers 9206/369, 7312/6523 is
GCF of Numerators i.e. for 9206,7312 is 2
LCM of denominators i.e. for 369,6523 is 2406987.
Thus, GCF of Fractions is 2/2406987.Finally, GCF of Fractions for 9206/369, 7312/6523 is 2/2406987.