GCF of 9284/765, 9706/923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9284/765, 9706/923 i.e 422/706095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9284/765, 9706/923.
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 9284/765,9706/923?
Given fractions are 9284/765,9706/923
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 9284/765,9706/923, numerators are 9284,9706
Denominators are 765,923
The GCF of 9284,9706 is 422 .
LCM of 765,923 is 706095.
The greatest common factor of 9284/765,9706/923 = [GCF of 9284,9706]/[LCM of 765,923]= 422/706095
Therefore, the GCF of 9284/765,9706/923 is 422/706095.
To find the highest common factor of 9284,9706, we have to find the factors of both numbers and list the highest common factor.
The factors of 9284 are 1, 2, 4, 11, 22, 44, 211, 422, 844, 2321, 4642, 9284
The factors of 9706 are 1, 2, 23, 46, 211, 422, 4853, 9706
The HCF of 9284,9706 is 422.
Lets's calculate GCF of 9284,9706
| 2 | 9284, 9706 |
| 211 | 4642, 4853 |
| 22, 23 |
∴ So the GCF of the given numbers is 2 x 211 = 422
Greatest Common Factor of 9284,9706 By Matching Biggest Common Factor Method
Now, list down the factors of 9284
:1,2,4,11,22,44,211,422,844,2321,4642,9284
Now, list down the factors of 9706
:1,2,23,46,211,422,4853,9706
Greatest Common Factor
We found the factors 9284,9706 . The biggest common factor number is the GCF number.
So the greatest common factor 9284,9706 is 422.
Lets's calculate LCM of 765,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 706095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 422/706095
Therefore, the GCF of Fractions 9284/765,9706/923 is 422/706095
Least Common Multiple of 765,923 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 765,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,923) x common factors =1 x 1 = 1
LCM(765,923) = ( 765 × 923 ) / 1
LCM(765,923) = 706095 / 1
LCM(765,923) = 706095
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FAQs on GCF of Fractions of 9284/765, 9706/923
1. What is the HCF of 9284,9706?
The HCF of 9284,9706 is 422
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 9284/765, 9706/923?
Answer: GCF of Numerators as per given numbers 9284/765, 9706/923 is
GCF of Numerators i.e. for 9284,9706 is 422
LCM of denominators i.e. for 765,923 is 706095.
Thus, GCF of Fractions is 422/706095.Finally, GCF of Fractions for 9284/765, 9706/923 is 422/706095.