GCF of 9431/207, 4707/2304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9431/207, 4707/2304 i.e 1/52992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9431/207, 4707/2304.
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 9431/207,4707/2304?
Given fractions are 9431/207,4707/2304
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 9431/207,4707/2304, numerators are 9431,4707
Denominators are 207,2304
The GCF of 9431,4707 is 1 .
LCM of 207,2304 is 52992.
The greatest common factor of 9431/207,4707/2304 = [GCF of 9431,4707]/[LCM of 207,2304]= 1/52992
Therefore, the GCF of 9431/207,4707/2304 is 1/52992.
To find the highest common factor of 9431,4707, we have to find the factors of both numbers and list the highest common factor.
The factors of 9431 are 1, 9431
The factors of 4707 are 1, 3, 9, 523, 1569, 4707
The HCF of 9431,4707 is 1.
Lets's calculate GCF of 9431,4707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9431,4707 By Matching Biggest Common Factor Method
Now, list down the factors of 9431
:1,9431
Now, list down the factors of 4707
:1,3,9,523,1569,4707
Greatest Common Factor
We found the factors 9431,4707 . The biggest common factor number is the GCF number.
So the greatest common factor 9431,4707 is 1.
Lets's calculate LCM of 207,2304
| 3 | 207, 2304 |
| 3 | 69, 768 |
| 23, 256 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 256 = 52992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52992
Therefore, the GCF of Fractions 9431/207,4707/2304 is 1/52992
Least Common Multiple of 207,2304 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 207,2304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,2304) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(207,2304) x common factors =9 x 1 = 9
LCM(207,2304) = ( 207 × 2304 ) / 9
LCM(207,2304) = 476928 / 9
LCM(207,2304) = 52992
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FAQs on GCF of Fractions of 9431/207, 4707/2304
1. What is the HCF of 9431,4707?
The HCF of 9431,4707 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 9431/207, 4707/2304?
Answer: GCF of Numerators as per given numbers 9431/207, 4707/2304 is
GCF of Numerators i.e. for 9431,4707 is 1
LCM of denominators i.e. for 207,2304 is 52992.
Thus, GCF of Fractions is 1/52992.Finally, GCF of Fractions for 9431/207, 4707/2304 is 1/52992.