Greatest Common Factor of 7263/15, 6076/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7263/15, 6076/383

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 7263/15,6076/383

Given fractions are 7263/15,6076/383

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 7263,6076

Greatest Common Factor of Numerators i.e. GCF of 7263,6076 is 1 .

LCM of Denominators means LCM of 15,383 as per the given fractions.

LCM of 15,383 is 5745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7263,6076

GCF of Fractions 7263/15,6076/383 is 1/5745

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

Greatest Common Factor of 7263,6076 By Matching Biggest Common Factor Method

Greatest Common Factor of 7263,6076 By Matching Biggest Common Factor Method

Factors of 7263

List of positive integer factors of 7263 that divides 7263 without a remainder.

1,3,9,27,269,807,2421,7263

Factors of 6076

List of positive integer factors of 6076 that divides 6076 without a remainder.

1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076

Greatest Common Factor

We found the factors 7263,6076 . The biggest common factor number is the GCF number.
So the greatest common factor 7263,6076 is 1.

Lets's calculate LCM of 15,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 5745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5745

Therefore, the GCF of Fractions 7263/15,6076/383 is 1/5745

Least Common Multiple of 15,383 with GCF Formula

Least Common Multiple of 15,383 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 15,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,383) = 1

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

GCF(15,383) x common factors =1 x 1 = 1

LCM(15,383) = ( 15 × 383 ) / 1

LCM(15,383) = 5745 / 1

LCM(15,383) = 5745


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 7263/15, 6076/383

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 7263/15, 6076/383?

Answer: GCF of Numerators as per given numbers 7263/15, 6076/383 is

GCF of Numerators i.e. for 7263,6076 is 1

LCM of denominators i.e. for 15,383 is 5745.

Thus, GCF of Fractions is 1/5745.Finally, GCF of Fractions for 7263/15, 6076/383 is 1/5745.