Greatest Common Factor of 5430/465, 6808/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5430/465, 6808/934

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 5430/465,6808/934

Given fractions are 5430/465,6808/934

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 5430,6808

Greatest Common Factor of Numerators i.e. GCF of 5430,6808 is 2 .

LCM of Denominators means LCM of 465,934 as per the given fractions.

LCM of 465,934 is 434310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5430,6808

GCF of Fractions 5430/465,6808/934 is 2/434310

2 5430, 6808
2715, 3404

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5430,6808 By Matching Biggest Common Factor Method

Greatest Common Factor of 5430,6808 By Matching Biggest Common Factor Method

Factors of 5430

List of positive integer factors of 5430 that divides 5430 without a remainder.

1,2,3,5,6,10,15,30,181,362,543,905,1086,1810,2715,5430

Factors of 6808

List of positive integer factors of 6808 that divides 6808 without a remainder.

1,2,4,8,23,37,46,74,92,148,184,296,851,1702,3404,6808

Greatest Common Factor

We found the factors 5430,6808 . The biggest common factor number is the GCF number.
So the greatest common factor 5430,6808 is 2.

Lets's calculate LCM of 465,934

Given numbers has no common factors except 1. So, there LCM is their product i.e 434310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/434310

Therefore, the GCF of Fractions 5430/465,6808/934 is 2/434310

Least Common Multiple of 465,934 with GCF Formula

Least Common Multiple of 465,934 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 465,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,934) = 1

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

GCF(465,934) x common factors =1 x 1 = 1

LCM(465,934) = ( 465 × 934 ) / 1

LCM(465,934) = 434310 / 1

LCM(465,934) = 434310


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 5430/465, 6808/934

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 5430/465, 6808/934?

Answer: GCF of Numerators as per given numbers 5430/465, 6808/934 is

GCF of Numerators i.e. for 5430,6808 is 2

LCM of denominators i.e. for 465,934 is 434310.

Thus, GCF of Fractions is 2/434310.Finally, GCF of Fractions for 5430/465, 6808/934 is 2/434310.