Greatest Common Factor of 5584/77, 2080/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5584/77, 2080/849

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5584/77,2080/849

Given fractions are 5584/77,2080/849

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5584,2080

Greatest Common Factor of Numerators i.e. GCF of 5584,2080 is 16 .

LCM of Denominators means LCM of 77,849 as per the given fractions.

LCM of 77,849 is 65373 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5584,2080

GCF of Fractions 5584/77,2080/849 is 16/65373

2 5584, 2080
2 2792, 1040
2 1396, 520
2 698, 260
349, 130

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 5584,2080 By Matching Biggest Common Factor Method

Greatest Common Factor of 5584,2080 By Matching Biggest Common Factor Method

Factors of 5584

List of positive integer factors of 5584 that divides 5584 without a remainder.

1,2,4,8,16,349,698,1396,2792,5584

Factors of 2080

List of positive integer factors of 2080 that divides 2080 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080

Greatest Common Factor

We found the factors 5584,2080 . The biggest common factor number is the GCF number.
So the greatest common factor 5584,2080 is 16.

Lets's calculate LCM of 77,849

Given numbers has no common factors except 1. So, there LCM is their product i.e 65373

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/65373

Therefore, the GCF of Fractions 5584/77,2080/849 is 16/65373

Least Common Multiple of 77,849 with GCF Formula

Least Common Multiple of 77,849 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 77,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,849) = 1

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

GCF(77,849) x common factors =1 x 1 = 1

LCM(77,849) = ( 77 × 849 ) / 1

LCM(77,849) = 65373 / 1

LCM(77,849) = 65373


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5584/77, 2080/849

1. 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.

2. What is the GCF of Fractions for 5584/77, 2080/849?

Answer: GCF of Numerators as per given numbers 5584/77, 2080/849 is

GCF of Numerators i.e. for 5584,2080 is 16

LCM of denominators i.e. for 77,849 is 65373.

Thus, GCF of Fractions is 16/65373.Finally, GCF of Fractions for 5584/77, 2080/849 is 16/65373.