Greatest Common Factor of 7363/751, 5842/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7363/751, 5842/748

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 7363/751,5842/748

Given fractions are 7363/751,5842/748

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 7363,5842

Greatest Common Factor of Numerators i.e. GCF of 7363,5842 is 1 .

LCM of Denominators means LCM of 751,748 as per the given fractions.

LCM of 751,748 is 561748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7363,5842

GCF of Fractions 7363/751,5842/748 is 1/561748

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

Greatest Common Factor of 7363,5842 By Matching Biggest Common Factor Method

Greatest Common Factor of 7363,5842 By Matching Biggest Common Factor Method

Factors of 7363

List of positive integer factors of 7363 that divides 7363 without a remainder.

1,37,199,7363

Factors of 5842

List of positive integer factors of 5842 that divides 5842 without a remainder.

1,2,23,46,127,254,2921,5842

Greatest Common Factor

We found the factors 7363,5842 . The biggest common factor number is the GCF number.
So the greatest common factor 7363,5842 is 1.

Lets's calculate LCM of 751,748

Given numbers has no common factors except 1. So, there LCM is their product i.e 561748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561748

Therefore, the GCF of Fractions 7363/751,5842/748 is 1/561748

Least Common Multiple of 751,748 with GCF Formula

Least Common Multiple of 751,748 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 751,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,748) = 1

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

GCF(751,748) x common factors =1 x 1 = 1

LCM(751,748) = ( 751 × 748 ) / 1

LCM(751,748) = 561748 / 1

LCM(751,748) = 561748


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 7363/751, 5842/748

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 7363/751, 5842/748?

Answer: GCF of Numerators as per given numbers 7363/751, 5842/748 is

GCF of Numerators i.e. for 7363,5842 is 1

LCM of denominators i.e. for 751,748 is 561748.

Thus, GCF of Fractions is 1/561748.Finally, GCF of Fractions for 7363/751, 5842/748 is 1/561748.