GCF of 790/576, 8580/608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 790/576, 8580/608 i.e 10/10944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/576, 8580/608.
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 790/576,8580/608?
Given fractions are 790/576,8580/608
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 790/576,8580/608, numerators are 790,8580
Denominators are 576,608
The GCF of 790,8580 is 10 .
LCM of 576,608 is 10944.
The greatest common factor of 790/576,8580/608 = [GCF of 790,8580]/[LCM of 576,608]= 10/10944
Therefore, the GCF of 790/576,8580/608 is 10/10944.
To find the highest common factor of 790,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790
The factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580
The HCF of 790,8580 is 10.
Lets's calculate GCF of 790,8580
| 2 | 790, 8580 |
| 5 | 395, 4290 |
| 79, 858 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 790,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Now, list down the factors of 8580
:1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Greatest Common Factor
We found the factors 790,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 790,8580 is 10.
Lets's calculate LCM of 576,608
| 2 | 576, 608 |
| 2 | 288, 304 |
| 2 | 144, 152 |
| 2 | 72, 76 |
| 2 | 36, 38 |
| 18, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 18 x 19 = 10944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/10944
Therefore, the GCF of Fractions 790/576,8580/608 is 10/10944
Least Common Multiple of 576,608 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 576,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,608) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(576,608) x common factors =32 x 1 = 32
LCM(576,608) = ( 576 × 608 ) / 32
LCM(576,608) = 350208 / 32
LCM(576,608) = 10944
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 790/576, 8580/608
1. What is the HCF of 790,8580?
The HCF of 790,8580 is 10
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 790/576, 8580/608?
Answer: GCF of Numerators as per given numbers 790/576, 8580/608 is
GCF of Numerators i.e. for 790,8580 is 10
LCM of denominators i.e. for 576,608 is 10944.
Thus, GCF of Fractions is 10/10944.Finally, GCF of Fractions for 790/576, 8580/608 is 10/10944.