GCF of 9768/805, 3926/8272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9768/805, 3926/8272 i.e 2/6658960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9768/805, 3926/8272.
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 9768/805,3926/8272?
Given fractions are 9768/805,3926/8272
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 9768/805,3926/8272, numerators are 9768,3926
Denominators are 805,8272
The GCF of 9768,3926 is 2 .
LCM of 805,8272 is 6658960.
The greatest common factor of 9768/805,3926/8272 = [GCF of 9768,3926]/[LCM of 805,8272]= 2/6658960
Therefore, the GCF of 9768/805,3926/8272 is 2/6658960.
To find the highest common factor of 9768,3926, we have to find the factors of both numbers and list the highest common factor.
The factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768
The factors of 3926 are 1, 2, 13, 26, 151, 302, 1963, 3926
The HCF of 9768,3926 is 2.
Lets's calculate GCF of 9768,3926
| 2 | 9768, 3926 |
| 4884, 1963 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9768,3926 By Matching Biggest Common Factor Method
Now, list down the factors of 9768
:1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768
Now, list down the factors of 3926
:1,2,13,26,151,302,1963,3926
Greatest Common Factor
We found the factors 9768,3926 . The biggest common factor number is the GCF number.
So the greatest common factor 9768,3926 is 2.
Lets's calculate LCM of 805,8272
Given numbers has no common factors except 1. So, there LCM is their product i.e 6658960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6658960
Therefore, the GCF of Fractions 9768/805,3926/8272 is 2/6658960
Least Common Multiple of 805,8272 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 805,8272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,8272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,8272) x common factors =1 x 1 = 1
LCM(805,8272) = ( 805 × 8272 ) / 1
LCM(805,8272) = 6658960 / 1
LCM(805,8272) = 6658960
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FAQs on GCF of Fractions of 9768/805, 3926/8272
1. What is the HCF of 9768,3926?
The HCF of 9768,3926 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 9768/805, 3926/8272?
Answer: GCF of Numerators as per given numbers 9768/805, 3926/8272 is
GCF of Numerators i.e. for 9768,3926 is 2
LCM of denominators i.e. for 805,8272 is 6658960.
Thus, GCF of Fractions is 2/6658960.Finally, GCF of Fractions for 9768/805, 3926/8272 is 2/6658960.