Greatest Common Factor of 2340/713, 5455/6023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2340/713, 5455/6023

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 2340/713,5455/6023

Given fractions are 2340/713,5455/6023

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 2340,5455

Greatest Common Factor of Numerators i.e. GCF of 2340,5455 is 5 .

LCM of Denominators means LCM of 713,6023 as per the given fractions.

LCM of 713,6023 is 4294399 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2340,5455

GCF of Fractions 2340/713,5455/6023 is 5/4294399

5 2340, 5455
468, 1091

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2340,5455 By Matching Biggest Common Factor Method

Greatest Common Factor of 2340,5455 By Matching Biggest Common Factor Method

Factors of 2340

List of positive integer factors of 2340 that divides 2340 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340

Factors of 5455

List of positive integer factors of 5455 that divides 5455 without a remainder.

1,5,1091,5455

Greatest Common Factor

We found the factors 2340,5455 . The biggest common factor number is the GCF number.
So the greatest common factor 2340,5455 is 5.

Lets's calculate LCM of 713,6023

Given numbers has no common factors except 1. So, there LCM is their product i.e 4294399

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4294399

Therefore, the GCF of Fractions 2340/713,5455/6023 is 5/4294399

Least Common Multiple of 713,6023 with GCF Formula

Least Common Multiple of 713,6023 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 713,6023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,6023) = 1

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

GCF(713,6023) x common factors =1 x 1 = 1

LCM(713,6023) = ( 713 × 6023 ) / 1

LCM(713,6023) = 4294399 / 1

LCM(713,6023) = 4294399


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 2340/713, 5455/6023

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 2340/713, 5455/6023?

Answer: GCF of Numerators as per given numbers 2340/713, 5455/6023 is

GCF of Numerators i.e. for 2340,5455 is 5

LCM of denominators i.e. for 713,6023 is 4294399.

Thus, GCF of Fractions is 5/4294399.Finally, GCF of Fractions for 2340/713, 5455/6023 is 5/4294399.