GCF of 96/834, 16/471, 792/941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/834, 16/471, 792/941 i.e 8/123212658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/834, 16/471, 792/941.
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 96/834,16/471,792/941?
Given fractions are 96/834,16/471,792/941
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 96/834,16/471,792/941, numerators are 96,16,792
Denominators are 834,471,941
The GCF of 96,16,792 is 8 .
LCM of 834,471,941 is 123212658.
The greatest common factor of 96/834,16/471,792/941 = [GCF of 96,16,792]/[LCM of 834,471,941]= 8/123212658
Therefore, the GCF of 96/834,16/471,792/941 is 8/123212658.
To find the highest common factor of 96,16,792, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 16 are 1, 2, 4, 8, 16
The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
The HCF of 96,16,792 is 8.
Lets's calculate GCF of 96,16,792
| 2 | 96, 16, 792 |
| 2 | 48, 8, 396 |
| 2 | 24, 4, 198 |
| 12, 2, 99 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 96,16,792 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 792
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 96,16,792 . The biggest common factor number is the GCF number.
So the greatest common factor 96,16,792 is 8.
Lets's calculate LCM of 834,471,941
| 3 | 834, 471, 941 |
| 278, 157, 941 |
∴ So the LCM of the given numbers is 3 x 278 x 157 x 941 = 123212658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/123212658
Therefore, the GCF of Fractions 96/834,16/471,792/941 is 8/123212658
Least Common Multiple of 834,471,941 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 834,471,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,471,941) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(834,471,941) x common factors =1 x 3 = 3
LCM(834,471,941) = ( 834 × 471 × 941 ) / 3
LCM(834,471,941) = 369637974 / 3
LCM(834,471,941) = 123212658
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 96/834, 16/471, 792/941
1. What is the HCF of 96,16,792?
The HCF of 96,16,792 is 8
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 96/834, 16/471, 792/941?
Answer: GCF of Numerators as per given numbers 96/834, 16/471, 792/941 is
GCF of Numerators i.e. for 96,16,792 is 8
LCM of denominators i.e. for 834,471,941 is 123212658.
Thus, GCF of Fractions is 8/123212658.Finally, GCF of Fractions for 96/834, 16/471, 792/941 is 8/123212658.