Greatest Common Factor of 1880/849, 8598/5305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1880/849, 8598/5305

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 1880/849,8598/5305

Given fractions are 1880/849,8598/5305

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 1880,8598

Greatest Common Factor of Numerators i.e. GCF of 1880,8598 is 2 .

LCM of Denominators means LCM of 849,5305 as per the given fractions.

LCM of 849,5305 is 4503945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1880,8598

GCF of Fractions 1880/849,8598/5305 is 2/4503945

2 1880, 8598
940, 4299

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

Greatest Common Factor of 1880,8598 By Matching Biggest Common Factor Method

Greatest Common Factor of 1880,8598 By Matching Biggest Common Factor Method

Factors of 1880

List of positive integer factors of 1880 that divides 1880 without a remainder.

1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880

Factors of 8598

List of positive integer factors of 8598 that divides 8598 without a remainder.

1,2,3,6,1433,2866,4299,8598

Greatest Common Factor

We found the factors 1880,8598 . The biggest common factor number is the GCF number.
So the greatest common factor 1880,8598 is 2.

Lets's calculate LCM of 849,5305

Given numbers has no common factors except 1. So, there LCM is their product i.e 4503945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4503945

Therefore, the GCF of Fractions 1880/849,8598/5305 is 2/4503945

Least Common Multiple of 849,5305 with GCF Formula

Least Common Multiple of 849,5305 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 849,5305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,5305) = 1

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

GCF(849,5305) x common factors =1 x 1 = 1

LCM(849,5305) = ( 849 × 5305 ) / 1

LCM(849,5305) = 4503945 / 1

LCM(849,5305) = 4503945


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 1880/849, 8598/5305

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 1880/849, 8598/5305?

Answer: GCF of Numerators as per given numbers 1880/849, 8598/5305 is

GCF of Numerators i.e. for 1880,8598 is 2

LCM of denominators i.e. for 849,5305 is 4503945.

Thus, GCF of Fractions is 2/4503945.Finally, GCF of Fractions for 1880/849, 8598/5305 is 2/4503945.