Greatest Common Factor of 6820/240, 2269/5770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6820/240, 2269/5770

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 6820/240,2269/5770

Given fractions are 6820/240,2269/5770

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 6820,2269

Greatest Common Factor of Numerators i.e. GCF of 6820,2269 is 1 .

LCM of Denominators means LCM of 240,5770 as per the given fractions.

LCM of 240,5770 is 138480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6820,2269

GCF of Fractions 6820/240,2269/5770 is 1/138480

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6820,2269 By Matching Biggest Common Factor Method

Greatest Common Factor of 6820,2269 By Matching Biggest Common Factor Method

Factors of 6820

List of positive integer factors of 6820 that divides 6820 without a remainder.

1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820

Factors of 2269

List of positive integer factors of 2269 that divides 2269 without a remainder.

1,2269

Greatest Common Factor

We found the factors 6820,2269 . The biggest common factor number is the GCF number.
So the greatest common factor 6820,2269 is 1.

Lets's calculate LCM of 240,5770

2 240, 5770
5 120, 2885
24, 577

∴ So the LCM of the given numbers is 2 x 5 x 24 x 577 = 138480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138480

Therefore, the GCF of Fractions 6820/240,2269/5770 is 1/138480

Least Common Multiple of 240,5770 with GCF Formula

Least Common Multiple of 240,5770 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 240,5770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,5770) = 10

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

GCF(240,5770) x common factors =10 x 1 = 10

LCM(240,5770) = ( 240 × 5770 ) / 10

LCM(240,5770) = 1384800 / 10

LCM(240,5770) = 138480


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 6820/240, 2269/5770

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 6820/240, 2269/5770?

Answer: GCF of Numerators as per given numbers 6820/240, 2269/5770 is

GCF of Numerators i.e. for 6820,2269 is 1

LCM of denominators i.e. for 240,5770 is 138480.

Thus, GCF of Fractions is 1/138480.Finally, GCF of Fractions for 6820/240, 2269/5770 is 1/138480.