GCF of 9766/969, 8586/4896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9766/969, 8586/4896 i.e 2/93024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9766/969, 8586/4896.
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 9766/969,8586/4896?
Given fractions are 9766/969,8586/4896
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 9766/969,8586/4896, numerators are 9766,8586
Denominators are 969,4896
The GCF of 9766,8586 is 2 .
LCM of 969,4896 is 93024.
The greatest common factor of 9766/969,8586/4896 = [GCF of 9766,8586]/[LCM of 969,4896]= 2/93024
Therefore, the GCF of 9766/969,8586/4896 is 2/93024.
To find the highest common factor of 9766,8586, we have to find the factors of both numbers and list the highest common factor.
The factors of 9766 are 1, 2, 19, 38, 257, 514, 4883, 9766
The factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586
The HCF of 9766,8586 is 2.
Lets's calculate GCF of 9766,8586
| 2 | 9766, 8586 |
| 4883, 4293 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9766,8586 By Matching Biggest Common Factor Method
Now, list down the factors of 9766
:1,2,19,38,257,514,4883,9766
Now, list down the factors of 8586
:1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586
Greatest Common Factor
We found the factors 9766,8586 . The biggest common factor number is the GCF number.
So the greatest common factor 9766,8586 is 2.
Lets's calculate LCM of 969,4896
| 3 | 969, 4896 |
| 17 | 323, 1632 |
| 19, 96 |
∴ So the LCM of the given numbers is 3 x 17 x 19 x 96 = 93024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93024
Therefore, the GCF of Fractions 9766/969,8586/4896 is 2/93024
Least Common Multiple of 969,4896 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 969,4896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,4896) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(969,4896) x common factors =51 x 1 = 51
LCM(969,4896) = ( 969 × 4896 ) / 51
LCM(969,4896) = 4744224 / 51
LCM(969,4896) = 93024
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FAQs on GCF of Fractions of 9766/969, 8586/4896
1. What is the HCF of 9766,8586?
The HCF of 9766,8586 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 9766/969, 8586/4896?
Answer: GCF of Numerators as per given numbers 9766/969, 8586/4896 is
GCF of Numerators i.e. for 9766,8586 is 2
LCM of denominators i.e. for 969,4896 is 93024.
Thus, GCF of Fractions is 2/93024.Finally, GCF of Fractions for 9766/969, 8586/4896 is 2/93024.