Greatest Common Factor of 5727/775, 2370/8302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5727/775, 2370/8302

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 5727/775,2370/8302

Given fractions are 5727/775,2370/8302

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 5727,2370

Greatest Common Factor of Numerators i.e. GCF of 5727,2370 is 3 .

LCM of Denominators means LCM of 775,8302 as per the given fractions.

LCM of 775,8302 is 6434050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5727,2370

GCF of Fractions 5727/775,2370/8302 is 3/6434050

3 5727, 2370
1909, 790

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5727,2370 By Matching Biggest Common Factor Method

Greatest Common Factor of 5727,2370 By Matching Biggest Common Factor Method

Factors of 5727

List of positive integer factors of 5727 that divides 5727 without a remainder.

1,3,23,69,83,249,1909,5727

Factors of 2370

List of positive integer factors of 2370 that divides 2370 without a remainder.

1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370

Greatest Common Factor

We found the factors 5727,2370 . The biggest common factor number is the GCF number.
So the greatest common factor 5727,2370 is 3.

Lets's calculate LCM of 775,8302

Given numbers has no common factors except 1. So, there LCM is their product i.e 6434050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6434050

Therefore, the GCF of Fractions 5727/775,2370/8302 is 3/6434050

Least Common Multiple of 775,8302 with GCF Formula

Least Common Multiple of 775,8302 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 775,8302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,8302) = 1

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

GCF(775,8302) x common factors =1 x 1 = 1

LCM(775,8302) = ( 775 × 8302 ) / 1

LCM(775,8302) = 6434050 / 1

LCM(775,8302) = 6434050


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 5727/775, 2370/8302

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 5727/775, 2370/8302?

Answer: GCF of Numerators as per given numbers 5727/775, 2370/8302 is

GCF of Numerators i.e. for 5727,2370 is 3

LCM of denominators i.e. for 775,8302 is 6434050.

Thus, GCF of Fractions is 3/6434050.Finally, GCF of Fractions for 5727/775, 2370/8302 is 3/6434050.