GCF of 9453/792, 3936/716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9453/792, 3936/716 i.e 3/141768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9453/792, 3936/716.
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 9453/792,3936/716?
Given fractions are 9453/792,3936/716
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 9453/792,3936/716, numerators are 9453,3936
Denominators are 792,716
The GCF of 9453,3936 is 3 .
LCM of 792,716 is 141768.
The greatest common factor of 9453/792,3936/716 = [GCF of 9453,3936]/[LCM of 792,716]= 3/141768
Therefore, the GCF of 9453/792,3936/716 is 3/141768.
To find the highest common factor of 9453,3936, we have to find the factors of both numbers and list the highest common factor.
The factors of 9453 are 1, 3, 23, 69, 137, 411, 3151, 9453
The factors of 3936 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 82, 96, 123, 164, 246, 328, 492, 656, 984, 1312, 1968, 3936
The HCF of 9453,3936 is 3.
Lets's calculate GCF of 9453,3936
| 3 | 9453, 3936 |
| 3151, 1312 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9453,3936 By Matching Biggest Common Factor Method
Now, list down the factors of 9453
:1,3,23,69,137,411,3151,9453
Now, list down the factors of 3936
:1,2,3,4,6,8,12,16,24,32,41,48,82,96,123,164,246,328,492,656,984,1312,1968,3936
Greatest Common Factor
We found the factors 9453,3936 . The biggest common factor number is the GCF number.
So the greatest common factor 9453,3936 is 3.
Lets's calculate LCM of 792,716
| 2 | 792, 716 |
| 2 | 396, 358 |
| 198, 179 |
∴ So the LCM of the given numbers is 2 x 2 x 198 x 179 = 141768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/141768
Therefore, the GCF of Fractions 9453/792,3936/716 is 3/141768
Least Common Multiple of 792,716 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 792,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,716) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(792,716) x common factors =4 x 1 = 4
LCM(792,716) = ( 792 × 716 ) / 4
LCM(792,716) = 567072 / 4
LCM(792,716) = 141768
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FAQs on GCF of Fractions of 9453/792, 3936/716
1. What is the HCF of 9453,3936?
The HCF of 9453,3936 is 3
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 9453/792, 3936/716?
Answer: GCF of Numerators as per given numbers 9453/792, 3936/716 is
GCF of Numerators i.e. for 9453,3936 is 3
LCM of denominators i.e. for 792,716 is 141768.
Thus, GCF of Fractions is 3/141768.Finally, GCF of Fractions for 9453/792, 3936/716 is 3/141768.