How to Find GCF of 580/778, 480/843?

GCF of 580/778, 480/843

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 580/778, 480/843 i.e 20/655854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 580/778, 480/843.

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 580/778,480/843?

Given fractions are 580/778,480/843

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 580/778,480/843, numerators are 580,480

Denominators are 778,843

The GCF of 580,480 is 20 .

LCM of 778,843 is 655854.

The greatest common factor of 580/778,480/843 = [GCF of 580,480]/[LCM of 778,843]= 20/655854

Therefore, the GCF of 580/778,480/843 is 20/655854.

Greatest Common Factor of 580,480

To find the highest common factor of 580,480, we have to find the factors of both numbers and list the highest common factor.

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

The HCF of 580,480 is 20.

Lets's calculate GCF of 580,480

Greatest Common Factor (GCF) of 580,480 By Common Division

2	580, 480
2	290, 240
5	145, 120
	29, 24

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 580,480 By Matching Biggest Common Factor Method

Now, list down the factors of 580

1,2,4,5,10,20,29,58,116,145,290,580

Now, list down the factors of 480

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 580,480 . The biggest common factor number is the GCF number.
So the greatest common factor 580,480 is 20.

Lets's calculate LCM of 778,843

Lowest Common Multiple of 778,843 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 655854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/655854

Therefore, the GCF of Fractions 580/778,480/843 is 20/655854

Least Common Multiple of 778,843 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 778,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,843) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(778,843) x common factors =1 x 1 = 1

LCM(778,843) = ( 778 × 843 ) / 1

LCM(778,843) = 655854 / 1

LCM(778,843) = 655854

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 580/778, 480/843

1. What is the HCF of 580,480?

The HCF of 580,480 is 20

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 580/778, 480/843?

Answer: GCF of Numerators as per given numbers 580/778, 480/843 is

GCF of Numerators i.e. for 580,480 is 20

LCM of denominators i.e. for 778,843 is 655854.

Thus, GCF of Fractions is 20/655854.Finally, GCF of Fractions for 580/778, 480/843 is 20/655854.