GCF of 792/141, 972/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 792/141, 972/960 i.e 36/45120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/141, 972/960.
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 792/141,972/960?
Given fractions are 792/141,972/960
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 792/141,972/960, numerators are 792,972
Denominators are 141,960
The GCF of 792,972 is 36 .
LCM of 141,960 is 45120.
The greatest common factor of 792/141,972/960 = [GCF of 792,972]/[LCM of 141,960]= 36/45120
Therefore, the GCF of 792/141,972/960 is 36/45120.
To find the highest common factor of 792,972, 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 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
The HCF of 792,972 is 36.
Lets's calculate GCF of 792,972
| 2 | 792, 972 |
| 2 | 396, 486 |
| 3 | 198, 243 |
| 3 | 66, 81 |
| 22, 27 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 792,972 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 972
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 792,972 . The biggest common factor number is the GCF number.
So the greatest common factor 792,972 is 36.
Lets's calculate LCM of 141,960
| 3 | 141, 960 |
| 47, 320 |
∴ So the LCM of the given numbers is 3 x 47 x 320 = 45120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/45120
Therefore, the GCF of Fractions 792/141,972/960 is 36/45120
Least Common Multiple of 141,960 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 141,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,960) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(141,960) x common factors =3 x 1 = 3
LCM(141,960) = ( 141 × 960 ) / 3
LCM(141,960) = 135360 / 3
LCM(141,960) = 45120
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 792/141, 972/960
1. What is the HCF of 792,972?
The HCF of 792,972 is 36
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 792/141, 972/960?
Answer: GCF of Numerators as per given numbers 792/141, 972/960 is
GCF of Numerators i.e. for 792,972 is 36
LCM of denominators i.e. for 141,960 is 45120.
Thus, GCF of Fractions is 36/45120.Finally, GCF of Fractions for 792/141, 972/960 is 36/45120.