GCF of 792/54, 286/72, 757/66
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 792/54, 286/72, 757/66 i.e 1/2376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/54, 286/72, 757/66.
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 792/54,286/72,757/66?
Given fractions are 792/54,286/72,757/66
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 792/54,286/72,757/66, numerators are 792,286,757
Denominators are 54,72,66
The GCF of 792,286,757 is 1 .
LCM of 54,72,66 is 2376.
The greatest common factor of 792/54,286/72,757/66 = [GCF of 792,286,757]/[LCM of 54,72,66]= 1/2376
Therefore, the GCF of 792/54,286/72,757/66 is 1/2376.
To find the highest common factor of 792,286,757, we have to find the factors of both numbers and list the highest common factor.
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 factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The factors of 757 are 1, 757
The HCF of 792,286,757 is 1.
Lets's calculate GCF of 792,286,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 792,286,757 By Matching Biggest Common Factor Method
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
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Now, list down the factors of 757
:1,757
Greatest Common Factor
We found the factors 792,286,757 . The biggest common factor number is the GCF number.
So the greatest common factor 792,286,757 is 1.
Lets's calculate LCM of 54,72,66
| 2 | 54, 72, 66 |
| 3 | 27, 36, 33 |
| 3 | 9, 12, 11 |
| 3, 4, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 4 x 11 = 2376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2376
Therefore, the GCF of Fractions 792/54,286/72,757/66 is 1/2376
Least Common Multiple of 54,72,66 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 54,72,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,72,66) = 6
common factors(in case of two or more numbers have common factors) = 18
GCF(54,72,66) x common factors =6 x 18 = 108
LCM(54,72,66) = ( 54 × 72 × 66 ) / 108
LCM(54,72,66) = 256608 / 108
LCM(54,72,66) = 2376
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 792/54, 286/72, 757/66
1. What is the HCF of 792,286,757?
The HCF of 792,286,757 is 1
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 792/54, 286/72, 757/66?
Answer: GCF of Numerators as per given numbers 792/54, 286/72, 757/66 is
GCF of Numerators i.e. for 792,286,757 is 1
LCM of denominators i.e. for 54,72,66 is 2376.
Thus, GCF of Fractions is 1/2376.Finally, GCF of Fractions for 792/54, 286/72, 757/66 is 1/2376.