GCF of 792/840, 165/630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 792/840, 165/630 i.e 33/2520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/840, 165/630.
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 792/840,165/630?
Given fractions are 792/840,165/630
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 792/840,165/630, numerators are 792,165
Denominators are 840,630
The GCF of 792,165 is 33 .
LCM of 840,630 is 2520.
The greatest common factor of 792/840,165/630 = [GCF of 792,165]/[LCM of 840,630]= 33/2520
Therefore, the GCF of 792/840,165/630 is 33/2520.
To find the highest common factor of 792,165, 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 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 792,165 is 33.
Lets's calculate GCF of 792,165
| 3 | 792, 165 |
| 11 | 264, 55 |
| 24, 5 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 792,165 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 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 792,165 . The biggest common factor number is the GCF number.
So the greatest common factor 792,165 is 33.
Lets's calculate LCM of 840,630
| 2 | 840, 630 |
| 3 | 420, 315 |
| 5 | 140, 105 |
| 7 | 28, 21 |
| 4, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 4 x 3 = 2520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/2520
Therefore, the GCF of Fractions 792/840,165/630 is 33/2520
Least Common Multiple of 840,630 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 840,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,630) = 210
common factors(in case of two or more numbers have common factors) = 1
GCF(840,630) x common factors =210 x 1 = 210
LCM(840,630) = ( 840 × 630 ) / 210
LCM(840,630) = 529200 / 210
LCM(840,630) = 2520
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 792/840, 165/630
1. What is the HCF of 792,165?
The HCF of 792,165 is 33
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 792/840, 165/630?
Answer: GCF of Numerators as per given numbers 792/840, 165/630 is
GCF of Numerators i.e. for 792,165 is 33
LCM of denominators i.e. for 840,630 is 2520.
Thus, GCF of Fractions is 33/2520.Finally, GCF of Fractions for 792/840, 165/630 is 33/2520.