Greatest Common Factor of 5300/492, 7430/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5300/492, 7430/811

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 5300/492,7430/811

Given fractions are 5300/492,7430/811

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 5300,7430

Greatest Common Factor of Numerators i.e. GCF of 5300,7430 is 10 .

LCM of Denominators means LCM of 492,811 as per the given fractions.

LCM of 492,811 is 399012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5300,7430

GCF of Fractions 5300/492,7430/811 is 10/399012

2 5300, 7430
5 2650, 3715
530, 743

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5300,7430 By Matching Biggest Common Factor Method

Greatest Common Factor of 5300,7430 By Matching Biggest Common Factor Method

Factors of 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300

Factors of 7430

List of positive integer factors of 7430 that divides 7430 without a remainder.

1,2,5,10,743,1486,3715,7430

Greatest Common Factor

We found the factors 5300,7430 . The biggest common factor number is the GCF number.
So the greatest common factor 5300,7430 is 10.

Lets's calculate LCM of 492,811

Given numbers has no common factors except 1. So, there LCM is their product i.e 399012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/399012

Therefore, the GCF of Fractions 5300/492,7430/811 is 10/399012

Least Common Multiple of 492,811 with GCF Formula

Least Common Multiple of 492,811 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 492,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,811) = 1

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

GCF(492,811) x common factors =1 x 1 = 1

LCM(492,811) = ( 492 × 811 ) / 1

LCM(492,811) = 399012 / 1

LCM(492,811) = 399012


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 5300/492, 7430/811

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 5300/492, 7430/811?

Answer: GCF of Numerators as per given numbers 5300/492, 7430/811 is

GCF of Numerators i.e. for 5300,7430 is 10

LCM of denominators i.e. for 492,811 is 399012.

Thus, GCF of Fractions is 10/399012.Finally, GCF of Fractions for 5300/492, 7430/811 is 10/399012.